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ratios

Expert replies
by nikhilagrawal » Fri Jul 25, 2008 2:19 am
At a certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. If the ratio of the number of third graders to the number of fourth graders is 3 to 2, what is the ratio of the number of first graders to the number of third graders?

A. 16 to 15
B. 9 to 5
C. 5 to 16
D. 5 to 4
E. 4 to 5
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Source: — Problem Solving |

by amitansu » Fri Jul 25, 2008 2:26 am
Ans is 'E' here.
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by pepeprepa » Fri Jul 25, 2008 5:53 am
ratio of first graders to second graders 3 to 4 (also 12 to 16)
ratio of second graders to fourth graders 8 to 5 (also 16 to 10)
ratio of third graders to fourth graders 3 to 2, so the ratio of fourth graders to third graders is 2 to 3 (also 10 to 15)

Therefore, we can write joining all these rartios: "12 to 16 to 10 to 15"

First graders to third graders: 12 to 15 which is 4 to 5

E
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by sudhir3127 » Fri Jul 25, 2008 6:06 am
Answer E. 4:5

try plugging in...

the ratio would be 12:16::15:10

hence the ratio between 1 and 3 is

12:15 which is 4:5
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