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 use equivalent ratio tables to determine the whole when I know a part and the percent it represents.

Remember4.5 · Part II

Finding the whole with an equivalent ratio table

  1. Write the known percent and part in matching columns
  2. Apply the same scale factor to both columns until the percent reaches 100%; the matching amount is the whole
  3. Check by finding the given percent of that whole

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?

    Show your work
    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?

    Show your work
    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?

    Show your work
    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?

    Show your work
    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
3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help