Part A: Equivalent Ratios Show the Same Comparison of Numbers and Quantities

4.2 – Equivalent Ratios

Objective…

Part A:Equivalent ratios show the same comparison of numbers and quantities

1)Linus has 8 red marbles and 12 blue marbles.

1. Write a ratio of red to blue marbles:______
2. Simplify the ratio of red to blue marbles: ______
3. Write the simplified ratio two other ways:______

2)Bobby has 10 pencils to 20 erasers.

1. Write a ratio of pencils to erasers:______
2. Simplify the ratio of pencils to erasers:______
3. Write the simplified ratio two other ways:______

3)Express the ratio 50 : 20 in simplest form: ______

4)Express the ratio 8 cm : 3 m in simplest form.

1. Rewrite with equal units: ______
2. Simplify:______

5)Express the ration 12 : 64 in simplest form:______

6)Express the ratio of 7 kg : 21 g in simplest form.

1. Rewrite with equal units:______
2. Simplify:______

Part B:Equivalent ratios have the same ratio in simplest form

Determine if these ratios are equivalent.

Part C:Find equivalent ratios by multiplication

1)Martha plans to bake some loaves of bread. The recipe for one loaf of bread uses 3 tablespoons of sunflower seeds and 4 tablespoons of cranberries.

If Martha plans to make more loaves of bread, find the equivalent ratio:

1. 6 tablespoons of sunflower seeds : ______tablespoons of cranberries
2. 9 tablespoons of sunflower seeds : ______tablespoons of cranberries
3. 12 tablespoons of sunflower seeds : ______tablespoons of cranberries
4. 15 tablespoons of sunflower seeds : ______tablespoons of cranberries

2)Use multiplication to find three ratios equivalent to 7 : 8

Part D:Find equivalent ratios by division

1)Tasty Catering has a recipe for black bean soup that uses 18 cups of black beans and 54 cups of tomatoes.

If Tasty Catering plans to make less soup, find the equivalent ratio:

1. 9 cups of black beans : ______cups of tomatoes
2. 6 cups of black beans : ______cups of tomatoes
3. 3 cups of black beans : ______cups of tomatoes
4. 1 cup of black beans : ______cups of tomatoes

2)Use division to find all the whole number ratios that are equivalent to 24 : 96

Part E:Find the missing term of a pair of equivalent ratios

Find the missing terms in these equivalent ratios.

4.2 – Equivalent Ratios

1)4 : 5 = 12 : ?

1. Rewrite as fractions:
2. Solve: ? = ______

2)42 : 54 = 7 : ?

1. Rewrite as fractions:
2. Solve: ? = ______

3)6 : 7 = 30 : ?

1. Rewrite as fractions:
2. Solve: ? = ______

4)28 : 42 = ? : 6

1. Rewrite as fractions:
2. Solve: ? = ______

5)48 : 64 = ? : 8

1. Rewrite as fractions:
2. Solve: ? = ______

6)4 : 9 = 36 : ?

1. Rewrite as fractions:
2. Solve: ? = ______

4.2 – Equivalent Ratios

Part F:Work with tables of ratios

1)Students in the school musical are going to sell tickets. Each student is expected to sell 3 youth tickets and 5 adult tickets. The student use a table to predict how many tickets will be sold. How many tickets will be sold if 50 students sell tickets?

2)The student council is selling bouquets of daises and tulips. The ratio of the number of daisies to the number of tulips is the same for all the bouquets. You can use ratios to find the missing information in the table.

3)Selena and Drew each have a summer job. The table shows the amount of money they earn, based on the number of hours they work.

1. Express the ratio of Selena’s earnings to Drew’s earnings in simplest form:
2. If Selena works 4 days, she will earn $______
3. If Selena works 30 days, she will earn $ ______
4. If Drew works 4 days, he will earn $ ______
5. If Drew works 30 days, he will earn $ ______

4)A school organized a paper recycling competition. The table shows the amount of oil and the amount of water saved by recycling paper.

1. How many gallons of water will be saved if 1 ton of paper is recycled?

1. Express the ratio of the amount of oil saved to the amount of water saved in simplest form:
2. How many gallons of oil will be saved if 2 tons of paper are recycled?

1. How many gallons of water will be saved if 3 tons of paper are recycled?

1. How many gallons of oil and water will be saved if 4 tons of paper are recycled?