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# The equation relates the values (R - 3)/28 = (S + 8)/35 of two linked

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

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