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# A certain quantity is measured on two different scales, the

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A certain quantity is measured on two different scales, the [#permalink]

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08 Oct 2006, 11:00
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A certain quantity is measured on two different scales, the R-scale and the S-scale, that are related linearly. Measurements on the R-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60, respectively. What measurement on the R-scale corresponds to a measurement of 100 on the S-scale?

A. 20
B. 36
C. 48
D. 60
E. 84
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08 Oct 2006, 12:36
48

R) 24 - 6 = 18
S) 60 - 30 = 30

R = 3/5 S

R = 3/5 (100 - 60) = 24

24 + 24 = 48
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