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GRE Sample Test 1 Quantitative Reasoning 2

Question : 18 of 20

Marks: +1, -0

\frac{7y}{2x}

= 7, then y =

Solution:

First, solve for x using the equation

\frac{7y}{2x}

= 7. Cross multiply to find that 7y = 14x. Dividing both sides by 14 yields

\frac{1}{2}

y = x.

Substitute this expression into the first equation to get

3 \left( \frac{1}{2} y \right)

+ 2y = 24.

Combine the like terms to get

\frac{7}{2} y

= 24; multiply both sides by

\frac{2}{7}

to find y =

\frac{48}{7} = 6.8

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