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# In 1990, twice as many boys as girls at Adams High School earned varsi

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
In 1990, twice as many boys as girls at Adams High School earned varsi  [#permalink]

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27 Jan 2019, 23:23
00:00

Difficulty:

45% (medium)

Question Stats:

67% (02:12) correct 33% (01:54) wrong based on 14 sessions

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In 1990, twice as many boys as girls at Adams High School earned varsity letters. From 1990 to 2000 the number of girls earning varsity letters increased by 25% while the number of boys earning varsity letters decreased by 25%. What was the ratio in 2000 of the number of girls to the number of boys who earned varsity letters?

A. $$\frac{5}{3}$$

B. $$\frac{6}{5}$$

C. $$1$$

D. $$\frac{5}{6}$$

E. $$\frac{3}{5}$$

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Re: In 1990, twice as many boys as girls at Adams High School earned varsi  [#permalink]

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27 Jan 2019, 23:34
Bunuel wrote:
In 1990, twice as many boys as girls at Adams High School earned varsity letters. From 1990 to 2000 the number of girls earning varsity letters increased by 25% while the number of boys earning varsity letters decreased by 25%. What was the ratio in 2000 of the number of girls to the number of boys who earned varsity letters?

A. $$\frac{5}{3}$$

B. $$\frac{6}{5}$$

C. $$1$$

D. $$\frac{5}{6}$$

E. $$\frac{3}{5}$$

IMO D

What was the ratio in 2000 of the number of girls to the number of boys who earned varsity letters

In 1990, twice as many boys as girls at Adams High School earned varsity letters.

twice as many boys as girls => B/G = 2:1, which we can even write as 20/10

In 2000, B/G became = 15/12.5

G/B = 12.5 /15

125/150

5/6
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Re: In 1990, twice as many boys as girls at Adams High School earned varsi  [#permalink]

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28 Jan 2019, 02:42
Bunuel wrote:
In 1990, twice as many boys as girls at Adams High School earned varsity letters. From 1990 to 2000 the number of girls earning varsity letters increased by 25% while the number of boys earning varsity letters decreased by 25%. What was the ratio in 2000 of the number of girls to the number of boys who earned varsity letters?

A. $$\frac{5}{3}$$

B. $$\frac{6}{5}$$

C. $$1$$

D. $$\frac{5}{6}$$

E. $$\frac{3}{5}$$

1990 : boys = 2x ; girls = x
2000: boys = 1.5x ; girls = 1.25x

ratio 1.25x/1.5x = .83 = 5/6
IMO D
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Re: In 1990, twice as many boys as girls at Adams High School earned varsi   [#permalink] 28 Jan 2019, 02:42
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