Ratios
Equivalent Ratios
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Comparing Ratios
100

In a drawing, there are three circles, four stars, and three triangles. What is the ratio of stars to the total number of shapes.

What is 2 : 5 or 4 : 10

100

5 shovels of sand are mixed with 4 shovels of gravel to make cement. What is the number of shovels of gravel needed for 45 shovels of sand.

36 shovels of gravel

100

Are the ratios 14:35 and 20:50 equivalent?

Yes they are. Their common ratio is 2:5.

100

A recipe uses 2 cups of chopped onions, 6 cups of chopped tomatoes, 1 tablespoon of olive oil, and 3 potatoes. How many cups of tomato are need to triple the recipe? Explain.

18 cups of tomatos

200

Lil blew up 7 balloons. Kathy blew up 5 balloons. What is the ratio of total balloons to Kathy's balloons?

12 to 5 or 12 : 5

200

Ari can walk 2 miles in 40 min. What is the amount of time it will take him to walk 4 miles.

80 min.

200

Is 7:2 equivalent to 2:7? Why or why not?

No
200

A car can travel 600 miles on 20 gallons of gas. What is the unit rate of miles per gallon for this car?

how many gallons of gas will the car need to go 120 miles?

30 miles per gallon

4 gallons

300

The recipe calls for 2 eggs, 8 cups of flour, 3 teaspoons of oil, and a pinch of salt. What is the ratio of cups of flour to eggs?
Simplify the ratio

8:2 OR 4:1

300

Tray used 6 black tiles and 12 white tiles for a pattern. What is the ratio of white tiles to black tiles?
Simplify the ratio

12:6  or  2:1

300

The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen, playroom, and dining room are in the ratio 4 : 3 : 2. The combined area of these three rooms is 189 square feet. What is the area of each room?

All three rooms amount to 9 units. All three rooms make 189 square feet. 189/9=21 , so each part of the tape diagram represents 21 square feet. The area of the kitchen is 84 square feet, the area of the playroom is 63 square feet, and the area of the dining room is 42 square feet.

300

The ratio of cups of peas to cups of carrots is 3 to 2. Write 3 equivalent ratios.

6 to 4, 12 to 8, 15 to 10

400

There are 20 rabbits in a cage. The ratio of white rabbits to grey rabbits is 3:7. How many white rabbits are in the cage?

6 white rabbits

400

30 buses can carry 1500 people. What is the number of people that can be carried by 5 buses.

250 people

400

You are having a pizza-making party for a number of people. You will need 6 ounces of dough and 4 ounces of sauce for each person at this party. If you used a total of 130 ounces of dough and sauce all together,

1.How many ounces of dough were used at the party?

2.How many ounces of sauce were used at the party?

3.How many people were at the party?

  1. 78 ounces of dough.
  2. 52 ounces of sauce.
  3. 12 guests. 13 people including you.
400

Mason is making hot chocolate. He uses 3 tablespoons of cocoa powder and 2 cups of milk.

a. Create a double number line or a table that shows different amounts of powder and water that taste the same as Noah’s mixture.

b. Create a double number line or a table that shows different amounts of powder and water that taste the same as Andre’s mixture.

c. How do their two mixtures compare in taste? Explain your reasoning.

instructor will check

500

There are 25 mice in a cage. The ratio of pink mice to black mice is 2:3. How many black mice are in the cage?

15 mice

500

Eliah's Fresh Eggs transports its eggs in crates. It takes 2 trucks to carry 80 crates. What is the number of crates that 8 trucks can carry.

320 crates

500

In basketball, Katrina makes 12 out of every 20 free throws. Her coach claims that if she tries 42 free throws, she should make 18 of them. Is the coach's claim correct?

No the coach is not correct.

500

Harriet Hare and Turbo Tortoise want to cross the finish line together on their 12 mile woodland race. Turbo sets off at 8:15am and trots at a constant speed of 4mph. Given that Harriet runs at a constant speed of 8mph, at what time should she set off?

 

9:45