ExplanationWrite an equation from the first part of the given information: p = 0.75q. Since p = 2r, substitute 2r for p in the first equation:

\(2r = 0.75q\)

\(r = 0.375q\)

The two quantities are equal.

Alternatively, use smart numbers. If q is 8, then p is (8)(0.75) = 6. (Note: because you have to multiply q by 0.75, or , try to pick something divisible by 4 for q, so that p will be an integer.)

Therefore, r is = 3.

Since 0.375q = (0.375)(8) = 3, the value for r is also 3. The two quantities are equal.

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Sandy

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