Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)
Using Ratio Tables(Part 1: Creating equivalent ratios by adding on)
Definition
A ratio table is a tool used to organize equivalent ratios.
Example A
You can walk 6 miles in 2 hours. Make a table of equivalent ratios to show how far you can walk in 4 hours, 6 hours, 8 hours, and 10 hours.
Example A - ratio of 2 hours: 6 miles
Time in Hours
Distance in Miles
Example BJuan can read 9 pages in hisbook in 10 minutes. Make atable of equivalent ratiosto find how many pages hecan read in 20 minutes,
30 minutes, 40 minutes, 50 minutes, and 60 minutes.
Example B – ratio 9 pages: 10 minutes
Number of Pages
Time (in minutes)
Using Ratio Tables(Part 2: Creating equivalent ratios by multiplying)
A party planner said that 3 pizzas will serve about 7 people.
How many pizzas are needed for 350 people?
Example
# of Pizzas
# of People
3 7
Strategy #1
# of Pizzas
# of People
3 7300 700
× 100
Strategy #1
× 100
# of Pizzas
# of People
3 7300 700150 350
× 100
÷ 2 ÷ 2
Strategy #1
× 100
# of Pizzas
# of People
3 7300 700150 350
× 100
÷ 2
Solution!
Strategy #1
÷ 2
× 100
# of Pizzas
# of People
3 7
Strategy #2
# of Pizzas
# of People
3 715 35
× 5× 5
Strategy #2
# of Pizzas
# of People
3 715 35
150 350
× 5
× 10
Strategy #2
× 5
× 10
# of Pizzas
# of People
3 715 35
150 350
× 5
× 10
Solution!
Strategy #2
× 5
× 10
Now it’s your turn! Use a ratio table to solve each problem.Example #1:
Six wheel rotations on a bike takes you 10 yards. How many wheel rotations will it take to go 45 yards?
Example #2:In a bag of blue and yellow candies, the ratio of blue candies to yellow candies is 3:5. If the bag contains 60 yellow candies, how many blue candies are there?
Example #3:
James can send 12 text messages in 8 minutes. At this same rate, how long will it take James to send 75 text messages?
Example #4:
At a local college, 2 out of every 8 seniors live in apartments. About how many of the 28 seniors are likely to live in apartments?
Example #5:
In a class, the ratio of boys to girls is 3 to 4. If there are 12 boys in the class, then how many girls are there?