500
3. What is 70% of ?2. What percent of 28 is ?
1. Order from least to greatest: 2/8, 2.8%, 8/2, .28
4a. How do you write the product of Four Hundred increased bySeven Percent?
400 + .7
400 • 0.07400
• .7400 •1.7
400 •1.074b. Wait before
answering, pls....Using mental math, what is the product of 400 increased by 7%
Solving Percent Problems
These four types of problems share two formulas, and are colosely related to
each other
A. Original price or number is increased by a given percent.B. Original price or number is decreased by a certain percent.C. Finding original price after increase (mark-up).D. Finding original price after decrease (discount).
To find the correct formula, ask yourself two questions:
1, Is the original price known? If yes, then A or B. If no, then C or D2. Did the price go up or down from the original? This will separate A from B & C from D
The actual increase = 11.7 – 7.8= 3.9 lb.
The percentage increase =3.97.8 = 50%
What is the baby’s percentage increase in weight?
A baby weighs 7.8 lb. at birth. After 6 weeks the baby’s weight has increased to 11.7 lb.
Percent Increase & Decrease
Petra deposited $250 into a bank account. After one year, she received $30 in interest and now had $280 in the account. What percent interest did she receive from the bank?
Solving Percent Problems
28 70
amount of increaseoriginal amount
When Jim was exercising, his heart rate went from 70 beats per minute to 98 beats per minute. What was the percent increase?
What percent is 28 of 70?
98 – 70 = 28
First find the amount of change.
What was the original price of the jeans?
I bought some jeans on sale. They were 15% off and I only paid
$25.50 for them.
Solving Percent Problems
The actual decrease = 25 –17 =$8
The percentage decrease =825 = 32%
All t-shirts were $25 now only
$17!
By what percent were they reduced?
Solving Percent Problems
The entrance fee at an amusement park is $35. People over the age of 65 receive a 20% discount. A) What is the amount of the discount? B) How much do people over 65 pay?A discount is a percent decrease. The original
price is known, so we will multiply. The formula for a known price that has decreased, is… multiply by the compliment of the discount.
B) How much do people over 65 pay?
A) What is the amount of the discount?
$7.00$28.00
Solving Percent Problems
The wholesale cost of a DVD is $7. The markup is 85%. What is the amount of the markup? What is the selling price?
Method 1A markup is a percent increase. So find $7 increased by 85%.
0.85(7) = 5.95
7 + 5.95 = 12.95
Find 85% of 7. This is the amount of the markup.
Add to 7. This is the selling price.Subtract from 12.95. This
is the amount of the markup.
12.95 ÷ 7 = 5.95
The amount of the markup is $5.95. The selling price
is $12.95.
The selling price is 185% of the wholesale price, $7.00.
100% + 85% = 185%
Find 185% of 7. This is the selling price.
1.85(7) = 12.95
Solving Percent Problems
Original Price: Price after
increase 1 + percent of
A pair of pants retails for $12.00. This is 50% above the wholesale cost. What is the wholesale cost?
$12.00.5
= $8.00
The formula to find the original price of an item that has been marked up is….
What type of problem is this?
Solving Percent Problems
Blah blah blah discounted 30%. Blah blah now $42.00. Blah Blah blah, find original price.
$42.00.7 =
$60.00
discounted priceCompliment of discount
percent
The formula to find the original price of an item that has been marked down is….
Type of problem?
Last Practice Problem
Fractions/Decimals & Percent Unit Simplifying Fractions & Terms
GCF (by using prime factorization) Factoring
+, -, *, ÷ Fractions
Proportions, Ratios, Rates Unit Rates
Converting Between Fractions, Decimals & Percent % Problems: Solving for the part, whole
and percent Percent change Percent mark-up/mark-down
Test # 1
Test # 2
Test # 3
>Tomorrow
14"
1. Find the length of side G2. Find the perimeters of both triangels A & X
A 12 oz. bottle orange juice costs $1.79. What is the
(rounded) unit cost?
The ratio of games lost to games won for a baseball team is 3:5. The team has played 85 games. How many games did the team lose?
The ratio of games lost to games won for a baseball team is 3:5. The team has won 32 games. How many games did the team lose?
A 12 oz. bottle orange juice drink is advertised as containing 5% orange juice. How many ounces of orange juice are in one bottle? x =
0.6