PERCENTS ARE RATIOS
PROBLEMS
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Do the problem yourself first!
1. Each percent is what ratio? (What ratio has each percent to 100%?)
Upon studying these, the student will have a "dictionary" which relates percents to ratios. The student should study this dictionary both ways: From percent to ratio, and from ratio to percent.
12½% |
An eighth (Half of a quarter) |
250% |
Two and a half times |
325% |
Three and a quarter times |
2. a) A blouse is a blend of cotton and rayon. It is 72% cotton. What
2. a) percent is rayon? 28%
2.
b) In a survey, 87½% responded Yes. What percent responded
2. a) No? 12½%
2.
c) The vote in a recent election was split between candidates A, B,
2. a) and C. Candidate A got 42% of the vote; candidate B got 43%.
2. a) What percent did candidate C get? 15%
Mental calculation
3. The Amount
3.
a) 12 is 50% of 24. |
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b) 6 is 25% of 24. |
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3.
c) 18 is 75% of 24. |
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d) 11 is 20% of 55. |
3.
e) 5 is 33 |
1 3 |
% of 15. |
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f) 10 is 66 |
2 3 |
% of 15.
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3.
g) 4 is 12½% of 32. |
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h) 36 is 300% of 12. |
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3.
i) 500 is 1000% of 50. |
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j) 750 is 250% of 300. |
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3.
k) 75 is 150% of 50. |
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l) 34 is 425% of 8. |
4. How much is 10% of each of the following? How much is 1%?
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$300 |
$275 |
$50 |
$3 |
$28 |
$5,020 |
10% |
$30 |
$27.50 |
$5 |
$.30 |
$2.80 |
$502 |
1% |
$3 |
$2.75 |
$.50 |
$.03 |
$.28 |
$50.20 |
5. Calculate mentally from 1%.
a) 2% of $300 = $6.00 |
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b) 3% of $900 = $27 |
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c) 5% of $70 = $3.50 |
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d) 8% of $60 = $4.80 |
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e) 7% of $4000 = $280 |
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f) 6% of $8000 = $480 |
6. The Base
a) 14 is 50% of 28. |
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b) 8 is 25% of 32. |
c) 9 is 33 |
1 3 |
% of 27 |
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d) 5 is 20% of 25. |
e) 14 is 200% of 7. |
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f) 12 is 300% of 4. |
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g) 10 is 500% of 2. |
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h) 40 is 1000% of 4. |
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i) $.25 is 10% of $2.50. |
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j) $.25 is 1% of $25. |
7. The Percent. (The question is, Has what ratio?)
a) 7 is 50% of 14. |
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b) 8 is 33 1/3% of 24. |
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c) 9 is 25% of 36. |
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d) 6 is 20% of 30. |
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e) 12 is 200% of 6. |
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f) 18 is 300% of 6. |
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g) 120 is 1000% of 12. |
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h) 12 is 100% of 12. |
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i) $75 is 10% of $750. |
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j) $7.50 is 1% of $750. |
8. Complete the following.
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8. a) 12 is 50% of 24. |
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b) 8 is 25% of 32. |
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c) 7 is 20% of 35. |
8. d) 9 is 33 |
1 3 |
% of 27. |
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e) 12 is 300% of 4. |
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f) 5 is 10% of 50. |
8. g) 8 is 20% of 40. |
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h) 8 is 1% of 800. |
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i) 3.5 is 1% of 350. |
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