Equivalent Ratios
Tape Diagrams
Tables
100
18
100
The tape diagram models the lengths of two snowboarding trails. The beginner trail is 200 meters long. How long is the expert trail?
800 meters
100
Find the missing value in the ratio table.
2
200
21
200
The tape diagram represents the ratio of the time you spend tutoring to the time your friend spends tutoring. You tutor for 3 hours. How many hours does your friend spend tutoring?
15 hours
200
Find the missing values in the ratio table.
24 , 9
300
A train moving at a constant speed travels 3 miles every 5 minutes. A car moving at a constant speed travels 12 miles every 20 minutes. Are the vehicles traveling at the same speed? If not, which is faster?
They are traveling at the same speed.
300
A bag contains 10 red marbles. The ratio of red marbles to blue marbles is 5 to 1. Find the number of blue marbles in the bag using a tape diagaram.
2 blue marbles
300
Find the missing values in the ratio table.
7, 3, 126
400
A non-Newtonian liquid demonstrates the properties of both a solid and a liquid. A recipe for a non-Newtonian liquid calls for 1 cup of water and 2 cups of cornstarch. Select two possible combinations of water and cornstarch that you can use to make a larger batch.
A, B
400
A bowl contains blueberries and strawberries. There are a total of 16 berries in the bowl. The ratio of blueberries to strawberries is 3 : 1. How many of each berry are in the bowl? Use a tape diagram to solve.
12 blueberries and 4 strawberries
400
For every 3 tickets you sell, your friend sells 4. You sell a total of 12 tickets. How many does your friend sell? Complete the ratio table to solve the problem.
6, 12, 16
16 tickets
500
In the contiguous United States, the ratio of states that border an ocean to states that do not border an ocean is 7:9. How many of the states border an ocean?
21
500
You separate bulbs of garlic into two groups: one for planting and one for cooking. The tape diagram represents the ratio of bulbs for planting to bulbs for cooking. You use 6 bulbs for cooking. Each bulb has 8 cloves. How many cloves of garlic will you plant?
288 cloves
500
First and second place in a contest use a ratio to share a cash prize. When first place pays $100 , second place pays $60. How much does first place pay when second place pays $36? Complete the ratio table to solve the problem.
6 , 60