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COURSE MODULE NAME PERCENTAGES

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27. According to the official 2000 census, the Hispanic population of the US in 2000 was<br />

35,305,818. It rose by an astounding 57.9% from 1990 to 2000. What was the Hispanic<br />

population in 1990?<br />

Solution:<br />

1990 → 2000<br />

old new<br />

old 35,305,818<br />

If we use the percentage change formula, then<br />

% change = (new – old) / old<br />

57.9% = (35,305,818 – old) / old<br />

doing some algebra<br />

0.579 * old = 35,305,818 – old<br />

0.579 * old + old = 35,305,818<br />

1.579 * old = 35,305,818<br />

old = 35,305,818 / 1.579<br />

old = 22,359,606<br />

28. From a news article: "In the first six months of 1996, the number of deaths [from AIDS] fell<br />

12% to 22,000 [compared to the same period a year earlier]." How many AIDS deaths were there<br />

during the first six months of 1995?<br />

Solution:<br />

1995 → 1996<br />

old new<br />

old 22,000<br />

Because there was a 12% decrease, we have to use –12%<br />

–12% = (22,000 – old) / old<br />

–0.12 * old = 22,000 – old<br />

–0.12 * old + old = 22,000<br />

0.88 * old = 22,000<br />

old = 22,000 / 0.88<br />

old = 25,000<br />

29. If 75% of a number is added to 75, the result is the number itself. Then the number is<br />

Ans.300<br />

Basic formula:<br />

X% = x / 100<br />

a/ b as percent : (a/b x 100) %<br />

Answer with explanation<br />

Take the number as x<br />

Percentages<br />

18

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