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Re: The equation relates the values (R - 3)/28 = (S + 8)/35 of two linked [#permalink]
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Bunuel wrote:
The equation relates the values (R - 3)/28 = (S + 8)/35 of two linked currencies, where R is the value in dollars of one currency and S is the value in dollars of the other currency. Which of the following equations can be used to convert dollar values from the R currency to the S currency?


A. \(S = \frac{(5R - 47)}{4}\)

B. \(S = \frac{(4R + 47)}{5}\)

C. \(S = \frac{(5R + 17)}{4}\)

D. \(S = \frac{(4R - 17)}{5}\)

E. \(S = \frac{5R}{4} - 12\)


As can also be seen from the answer choices, we need to express S in terms of R. Simplifying the equation, we have:

35(R-3) = 28(S+8)

35R - 105 = 28S + 224

35R - 329 = 28S

7(5R - 47)/28 = S

(5R - 47)/4 = S

Answer: A
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Re: The equation relates the values (R - 3)/28 = (S + 8)/35 of two linked [#permalink]
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