Math Problem Statement

Find each number. Round to the nearest tenth if necessary. (A list of math percentage problems shown in the image.)

Solution

Here are the solutions to each of the questions in the image:

7. What percent of 60 is 15?

Percent=(1560)×100=25%\text{Percent} = \left(\frac{15}{60}\right) \times 100 = 25\%


8. 9 is 45% of what number?

Number=90.45=20\text{Number} = \frac{9}{0.45} = 20


9. What number is 12% of 72?

Number=0.12×72=8.64\text{Number} = 0.12 \times 72 = 8.64


10. What percent of $12 is $9?

Percent=(912)×100=75%\text{Percent} = \left(\frac{9}{12}\right) \times 100 = 75\%


11. 75 is 20% of what number?

Number=750.2=375\text{Number} = \frac{75}{0.2} = 375


12. What number is 40% of 80?

Number=0.4×80=32\text{Number} = 0.4 \times 80 = 32


13. $3 is what percent of $40?

Percent=(340)×100=7.5%\text{Percent} = \left(\frac{3}{40}\right) \times 100 = 7.5\%


14. 12.5% of what number is 24?

Number=240.125=192\text{Number} = \frac{24}{0.125} = 192


15. 8.2% of 50 is what number?

Number=0.082×50=4.1\text{Number} = 0.082 \times 50 = 4.1


16. What percent of 300 is 0.6?

Percent=(0.6300)×100=0.2%\text{Percent} = \left(\frac{0.6}{300}\right) \times 100 = 0.2\%


17. 45 is 150% of what number?

Number=451.5=30\text{Number} = \frac{45}{1.5} = 30


18. What percent of 25 is 30?

Percent=(3025)×100=120%\text{Percent} = \left(\frac{30}{25}\right) \times 100 = 120\%


19. What number is 0.5% of 8?

Number=0.005×8=0.04\text{Number} = 0.005 \times 8 = 0.04


20. 6% of what number is 1012=10.510 \frac{1}{2} = 10.5?

Number=10.50.06=175\text{Number} = \frac{10.5}{0.06} = 175


21. A paperback book originally priced at $12.50 is on sale for $7.50. What percent of the original cost is the sale price?

Percent=(7.5012.50)×100=60%\text{Percent} = \left(\frac{7.50}{12.50}\right) \times 100 = 60\%

Would you like a detailed explanation for any specific question or further clarification?


Related Questions:

  1. If $3 is 7.5% of a number, what is the number?
  2. What percent of 80 is 64?
  3. If 45% of a number is 36, what is the number?
  4. Find 12.5% of 256.
  5. How much is 0.05% of 10,000?

Tip:

When solving percentage problems, always double-check whether the question asks for "percent of a number" or "what number is a percent of."

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Math Problem Analysis

Mathematical Concepts

Percentages
Proportions
Basic Arithmetic

Formulas

Percent = (Part / Whole) * 100
Whole = Part / (Percent / 100)
Part = Percent * Whole / 100

Theorems

Proportional reasoning in percentages

Suitable Grade Level

Grades 6-8