Subjects algebra

Percent Problems

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1. Problem 13: Find the number $x$ such that 4% of $x$ is 10. Use the proportion $\frac{4}{100} \times x = 10$. Solve for $x$: $$x = \frac{10 \times 100}{4} = 250.$$ 2. Problem 15: Find what percent 21 is of 50. Set up the proportion: $\frac{21}{50} = \frac{p}{100}$. Solve for $p$: $$p = \frac{21 \times 100}{50} = 42\%.$$ 3. Problem 17: Find what percent 52.2 is of 145. Set up the proportion: $\frac{52.2}{145} = \frac{p}{100}$. Solve for $p$: $$p = \frac{52.2 \times 100}{145} \approx 36\%.$$ 4. Problem 19: Find 60% of 120. Calculate: $$\frac{60}{100} \times 120 = 72.$$ 5. Problem 21: Find 65% of 440. Calculate: $$\frac{65}{100} \times 440 = 286.$$ 6. Problem 23: Find the number $x$ such that 40% of $x$ is 12. Set up the proportion: $\frac{40}{100} \times x = 12$. Solve for $x$: $$x = \frac{12 \times 100}{40} = 30.$$ 7. Problem 25: Find the number $x$ such that 80% of $x$ is 12. Set up the proportion: $\frac{80}{100} \times x = 12$. Solve for $x$: $$x = \frac{12 \times 100}{80} = 15.$$ 8. Problem 14: Find the number $x$ such that 55% of $x$ is 22. Set up the proportion: $\frac{55}{100} \times x = 22$. Solve for $x$: $$x = \frac{22 \times 100}{55} = 40.$$ 9. Problem 16: Find what percent 16 is of 64. Set up the proportion: $\frac{16}{64} = \frac{p}{100}$. Solve for $p$: $$p = \frac{16 \times 100}{64} = 25\%.$$ 10. Problem 18: Find what percent 19.8 is of 36. Set up the proportion: $\frac{19.8}{36} = \frac{p}{100}$. Solve for $p$: $$p = \frac{19.8 \times 100}{36} = 55\%.$$ 11. Problem 20: Find 80% of 125. Calculate: $$\frac{80}{100} \times 125 = 100.$$ 12. Problem 22: Find 83% of 200. Calculate: $$\frac{83}{100} \times 200 = 166.$$ 13. Problem 24: Find the number $x$ such that 20% of $x$ is 34. Set up the proportion: $\frac{20}{100} \times x = 34$. Solve for $x$: $$x = \frac{34 \times 100}{20} = 170.$$ 14. Problem 26: Find the number $x$ such that 4% of $x$ is 15. Set up the proportion: $\frac{4}{100} \times x = 15$. Solve for $x$: $$x = \frac{15 \times 100}{4} = 375.$$ 15. Problem 27: Find what percent 16 is of 80. Set up the proportion: $\frac{16}{80} = \frac{p}{100}$. Solve for $p$: $$p = \frac{16 \times 100}{80} = 20\%.$$ 16. Problem 28: Find total number of gumballs if 85 is 17% of total. Set up the proportion: $\frac{17}{100} \times x = 85$. Solve for $x$: $$x = \frac{85 \times 100}{17} = 500.$$ 17. Problem 29: Using the circle graph, the percentages given are 24% for "Lose weight" and 19% for "Declutter". These are parts of the whole 100% representing New Year's resolutions. No calculation requested beyond reading percentages. Final answers: 13. 250 15. 42% 17. 36% 19. 72 21. 286 23. 30 25. 15 14. 40 16. 25% 18. 55% 20. 100 22. 166 24. 170 26. 375 27. 20% 28. 500 29. Given percentages 24% and 19% from graph.