Grade 6 Mathematics · Unit 3: Ratios & RatesStandard 6.AT.3

Lesson 3.93.9 · Part II

Apply Day · Set BSecond form · new problems, same idea

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Learning target I can find and check equivalent ratios using multiplication and division.

Remember3.9 · Part II

Proportions & Equivalent Ratios

  1. Two ratios are equivalent if their simplified forms or cross products are equal
  2. Find the scale factor between corresponding terms
  3. Multiply or divide to solve for the missing term in the proportion

Words: Equivalent Ratios (Razones equivalentes)Ratio (Razón)Rate (Tasa)Proportion (Proporción)Simplify (Simplificar)

  1. 1Complete each step, then write the final answer.
    First amount36Second amount5?× 2× 2

    A ratio is 3:5. Multiply both numbers by 2. The new ratio is 6 : ?. What is the missing number?

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    Final answer:
  2. 2Complete each step, then write the final answer.
    Onions535Peppers2?× ?× ?

    Chef Montoya uses 5 onions for every 2 peppers. Today she uses 35 onions. How many peppers does she need?

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    Final answer:
  3. 3Complete each step, then write the final answer.
    First amount12?15Second amount16??÷ ?÷ ?× ?× ?

    Is 12:16 equivalent to 15:21? Type yes or no.

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    Final answer:
  4. 4Complete each step, then write the final answer.
    Blue paint (cans)412White paint (cans)5?× ?× ?

    A paint color uses 4 cans of blue for every 5 cans of white. A painter uses 12 cans of blue. How many cans of white does the painter need?

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    Final answer:
  5. 5Complete each step, then write the final answer.
    Wins10?15Losses4??÷ ?÷ ?× ?× ?

    The Hawks won 10 games and lost 4. The Bears won 15 games and lost 6. Are their win-to-loss ratios equivalent? Type yes or no.

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    Final answer:
  6. 6Complete each step, then write the final answer.
    Red (cups)6?10Yellow (cups)9??÷ ?÷ ?× ?× ?

    Orange paint uses 6 cups of red for 9 cups of yellow. You have 10 cups of red and 20 cups of yellow. You use all the red. How many cups of yellow are left?

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    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    Which ratio is equivalent to 2:5?

    1. A2:10
    2. B3:6
    3. C4:10
    4. D5:2
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    A recipe uses 4 eggs for every 6 cups of flour. Which ratio is equivalent?

    1. A2:3
    2. B4:3
    3. C6:4
    4. D8:10
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    Which ratio is NOT equivalent to 6:9?

    1. A2:3
    2. B3:5
    3. C12:18
    4. D18:27
    Show your work
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