Grade 6 Mathematics · Unit 4: Understand and Use PercentagesStandard 6.AT.4

Lesson 4.5Solve for the Whole

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

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can determine the whole when I know a part and the percent that part represents.

Remember4.5 · Part II

Finding the Whole Given Part & Percent

  1. Identify the given part and the percentage it represents
  2. Convert the percent to a decimal or fraction
  3. Divide the part by the percent decimal to find the total whole (100%)

Words: Part (Parte)Whole (Total)Double number line (Recta numérica doble)Equation (Ecuación)Percent (Porcentaje)

  1. 1Complete each step, then write the final answer.
    Percent (%)50100Number8?× ?× ?

    8 is 50% of what number?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Percent (%)7525100Price ($)45??÷ ?÷ ?× ?× ?

    $45 is 75% of the original price. What was the original price?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Percent (%)655100Price ($)13??÷ ?÷ ?× ?× ?

    A shirt is on sale for 35% off. Mia pays $13. What was the original price?

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    Final answer:
  4. 4Complete each step, then write the final answer.
    Percent (%)6020100Water (L)30??÷ ?÷ ?× ?× ?

    A tank has 30 liters of water in it. The tank is 60% full. How many liters does a full tank hold?

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    Final answer:
  5. 5Complete each step, then write the final answer.
    Percent (%)564100Students168??÷ ?÷ ?× ?× ?

    In a survey, 168 students chose pizza. That was 56% of the students. How many students took the survey?

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    Final answer:
  6. 6Complete each step, then write the final answer.
    Percent (%)12020100Pay ($)18??÷ ?÷ ?× ?× ?

    After a 20% raise, Ana earns $18 an hour. How much did she earn an hour before the raise?

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

    $20 is 50% of what number?

    1. A$10
    2. B$25
    3. C$40
    4. D$70
    0%50%100%
    Work
  8. 8Circle the letter of the best answer. Show how you know.

    Which equation says "30 is 25% of some number n"?

    1. A0.25n = 30
    2. Bn = 0.25 × 30
    3. C25n = 30
    4. Dn = 30 + 25
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    $42 is 60% of the original price. Should the original price be more or less than $42?

    1. AMore, because 60% is less than the whole
    2. BLess, because 60 is a big number
    3. CExactly $42
    4. DYou cannot tell
    Show your work
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