UntitledWord Problem Do Nows
Mr. Taylor's Math Class
Chemical Mixture and Percent Composition
Word Problems
Mr. Taylor's Lesson Resources 2
Mixture Word Problems 2
Mixture Word Problems 1
Do Now 1:
A chemist needs 20ml of a 40% solution. She only has 15%
and 65% solutions available in her lab.The chemist decides to
mix some 15% with some 65% to create her own 40% solution.
How much of each solution does she need to use?
Mr. Taylor's Lesson Resources 4
+ =
Do Now 1:
A chemist needs 20ml of a 40% solution. She only has 15% and
65% solutions available in her lab.The chemist decides to mix
some 15% with some 65% to create her own 40% solution.
How much of each solution does she need to use?
Mr. Taylor's Lesson Resources 5
Lets Try Another Problem
Do Now 2:
You are a lab worker for a large chemical company. You need a
15% acid solution for a certain test, but your supplier only ships a
10% solution and a 30% solution.
Rather than pay the hefty surcharge to have the supplier make a
15% solution, you decide to mix 10% solution with 30% solution,
to make your own 15% solution. You need 10 liters of the 15%
acid solution.
How many liters of 10% solution and 30% solution should you
use?
Mr. Taylor's Lesson Resources 7
+ =
Do Now 2:
You are a lab worker for a large chemical company. You need a
15% acid solution for a certain test, but your supplier only ships a
10% solution and a 30% solution.
Rather than pay the hefty surcharge to have the supplier make a
15% solution, you decide to mix 10% solution with 30% solution, to
make your own 15% solution. You need 10 liters of the 15% acid
solution.
How many liters of 10% solution and 30% solution should you use?
Mr. Taylor's Lesson Resources 8
Lets Try Another Problem
Do Now 3:
How many liters of a 70% alcohol solution must be added to 50
liters of a 40% alcohol solution to produce a 50% alcohol solution?
Mr. Taylor's Lesson Resources 10
+ =
Do Now 3:
How many liters of a 70% alcohol solution must be added to 50 liters
of a 40% alcohol solution to produce a 50% alcohol solution?
Mr. Taylor's Lesson Resources 11
Lets Try Another Problem
Do Now 4:
How many ounces of pure water must be evaporated from 50
ounces of a 15% saline solution to yield a saline solution that
is 10% salt?
Mr. Taylor's Lesson Resources 13
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Do Now 4:
How many ounces of pure water must be evaporated from 50
ounces of a 15% saline solution to yield a saline solution that is
10% salt?
Mr. Taylor's Lesson Resources 14
Lets Try Another Problem
Do Now 5:
How many ounces of pure water must be evaporated from 90
ounces of a 25% saline solution to make a saline solution that is
15% salt?
Mr. Taylor's Lesson Resources 16
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Do Now 5:
How many ounces of pure water must be evaporated from 90
ounces of a 25% saline solution to make a saline solution that is
15% salt?
Mr. Taylor's Lesson Resources 17
Lets Try Another Problem
Do Now 6:
Find the selling price per pound of a coffee mixture made from 8
pounds of coffee that sells for $9.20 per pound and 12 pounds of
coffee that costs $5.50 per pound.
Mr. Taylor's Lesson Resources 19
+ =
Do Now 6:
Find the selling price per pound of a coffee mixture made from 8
pounds of coffee that sells for $9.20 per pound and 12 pounds of
coffee that costs $5.50 per pound.
Mr. Taylor's Lesson Resources 20
Lets Try Another Problem
Do Now 7:
How many pounds of lima beans which cost $0.90 per pound must
be mixed with 16 pounds of corn which costs $0.50 per pound, to
make a mixture of vegetables that costs $0.65 per pound?
Mr. Taylor's Lesson Resources 22
+ =
Do Now 7:
How many pounds of lima beans which cost $0.90 per pound must
be mixed with 16 pounds of corn which costs $0.50 per pound, to
make a mixture of vegetables that costs $0.65 per pound?
Mr. Taylor's Lesson Resources 23
Lets Try Another Problem
Do Now 8:
Two hundred liters of a punch that contains 45% fruit juice is mixed
with 300 liters (L) of another punch. The resulting fruit punch is 25%
fruit juice. Find the percent of fruit juice in the 300 liters of punch.
Mr. Taylor's Lesson Resources 25
+ =
Do Now 8:
Two hundred liters of a punch that contains 45% fruit juice is mixed
with 300 liters (L) of another punch. The resulting fruit punch is 25%
fruit juice. Find the percent of fruit juice in the 300 liters of punch.
Mr. Taylor's Lesson Resources 26
Lets Try Another Problem
Do Now 9:
Ten grams of sugar are added to a 40g serving of a breakfast
cereal that is already 30% sugar. What is the percent concentration
of sugar in the resulting mixture?
Mr. Taylor's Lesson Resources 28
+ =
Do Now 9:
Ten grams of sugar are added to a 40g serving of a breakfast cereal
that is already 30% sugar. What is the percent concentration of sugar
in the resulting mixture?
Mr. Taylor's Lesson Resources 29
Lets Try Another Problem
Mr. Taylor's Lesson Resources 30
Do Now 10:
Your school is holding a "family friendly" event this weekend.
Students have been preselling tickets to the event adult tickets
are $5.00, and child tickets (for kids six years old and under) are
$2.50. From past experience, you expect about 13,000 people to
attend the event. But this is the first year in which tickets prices
have been reduced for the younger children, so you really don't
know how many child tickets and how many adult tickets you can
expect to sell. Your boss wants you to estimate the expected
ticket revenue. You decide to use the information from the pre
sold tickets to estimate the ratio of adults to children, and figure
the expected revenue from this information.
You consult with your student ticketsellers, and discover that
they have not been keeping track of how many child tickets they
have sold. The tickets are identical, until the ticketseller punches
a hole in the ticket, indicating that it is a child ticket. But they don't
remember how many holes they've punched. They only know that
they've sold 548 tickets for $2460. How much revenue from each
of child and adult tickets can you expect?
Mr. Taylor's Lesson Resources 31
CHALLENGE Problems:
CHALLENGE 1:
Paul has $31.15 from paper route collections. He has 5 more nickels
than quarters and 7 fewer dimes than quarters. How many of each
coin does Paul have?
Mr. Taylor's Lesson Resources 33
CHALLENGE 1:
Paul has $31.15 from paper route collections. He has 5 more nickels
than quarters and 7 fewer dimes than quarters. How many of each
coin does Paul have?
Mr. Taylor's Lesson Resources 34
CHALLENGE 2:
Bobbie has $1.54 in quarters, dimes, nickels, and pennies. He has
twice as many dimes as quarters and three times as many nickels as
dimes. The number of pennies is the same as the number of dimes.
How many of each coin does he have?
Mr. Taylor's Lesson Resources 35
CHALLENGE 2:
Bobbie has $1.54 in quarters, dimes, nickels, and pennies. He has
twice as many dimes as quarters and three times as many nickels
as dimes. The number of pennies is the same as the number of
dimes. How many of each coin does he have?
Attachments
Word Probs Wksht Mixture.docx
Mixture Problems Name: Period:
1. A chemist needs 20ml of a 40% solution. She only has 15% and 65%
solutions available in her lab. The chemist decides to mix some 15%
with some 65% to create her own 40% solution.
How much of each solution does she need to use?
2. You are a lab worker for a large chemical company. You need a
15% acid solution for a certain test, but your supplier only ships
a 10% solution and a 30% solution.
Rather than pay the hefty surcharge to have the supplier make a 15%
solution, you decide to mix 10% solution with 30% solution, to make
your own 15% solution. You need 10 liters of the 15% acid
solution.
How many liters of 10% solution and 30% solution should you
use?
3. How many liters of a 70% alcohol solution must be added to 50
liters of a 40% alcohol solution to produce a 50% alcohol
solution?
4. How many ounces of pure water must be evaporated from 50 ounces
of a 15% saline solution to yield a saline solution that is 10%
salt?
5. How many ounces of pure water must be evaporated from 90 ounces
of a 25% saline solution to make a saline solution that is 15%
salt?
6. Find the selling price per pound of a coffee mixture made from 8
pounds of coffee that sells for $9.20 per pound and 12 pounds of
coffee that costs $5.50 per pound.
7. How many pounds of lima beans which cost $0.90 per pound must be
mixed with 16 pounds of corn which costs $0.50 per pound, to make a
mixture of vegetables that costs $0.65 per pound?
8. Two hundred liters of a punch that contains 45% fruit juice is
mixed with 300 liters (L) of another punch. The resulting fruit
punch is 25% fruit juice. Find the percent of fruit juice in the
300 liters of punch.
9. Ten grams of sugar are added to a 40-g serving of a breakfast
cereal that is already 30% sugar. What is the percent concentration
of sugar in the resulting mixture?
10. Your school is holding a "family friendly" event this weekend.
Students have been pre-selling tickets to the event; adult tickets
are $5.00, and child tickets (for kids six years old and under) are
$2.50. From past experience, you expect about 13,000 people to
attend the event. But this is the first year in which tickets
prices have been reduced for the younger children, so you really
don't know how many child tickets and how many adult tickets you
can expect to sell. Your boss wants you to estimate the expected
ticket revenue. You decide to use the information from the pre-sold
tickets to estimate the ratio of adults to children, and figure the
expected revenue from this information.
You consult with your student ticket-sellers, and discover that
they have not been keeping track of how many child tickets they
have sold. The tickets are identical, until the ticket-seller
punches a hole in the ticket, indicating that it is a child ticket.
But they don't remember how many holes they've punched. They only
know that they've sold 548 tickets for $2460. How much revenue from
each of child and adult tickets can you expect?
Reflection and Extension:
How do you feel about these types of problems? How does the
strategy you use to solve these types of problems relate to
chemical mixture or percent composition problems?
Draw the diagram(s) you might use for the mixture problems:
CHALLENGE Problems:
Coin Problem1-
Paul has $31.15 from paper route collections. He has 5 more nickels
than quarters and 7 fewer dimes than quarters. How many of each
coin does Paul have?
Coin Problem 2-
Bobbie has $1.54 in quarters, dimes, nickels, and pennies. He has
twice as many dimes as quarters and three times as many nickels as
dimes. The number of pennies is the same as the number of dimes.
How many of each coin does he have?
SMART Notebook
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