1991 AJHSME Problems/Problem 21

Problem

For every $3^\circ$ rise in temperature, the volume of a certain gas expands by $4$ cubic centimeters. If the volume of the gas is $24$ cubic centimeters when the temperature is $32^\circ$ , what was the volume of the gas in cubic centimeters when the temperature was $20^\circ$ ?

$\text{(A)}\ 8 \qquad \text{(B)}\ 12 \qquad \text{(C)}\ 15 \qquad \text{(D)}\ 16 \qquad \text{(E)}\ 40$

Solution

We know that $T=32-3k\Rightarrow V=24-4k.$ Setting $k=4$ , we get the volume when the temperature is $20^\circ$ , which is $24-4(4)=8\rightarrow \boxed{\text{A}}$ .

1991 AJHSME (Problems • Answer Key • Resources)
Preceded by Problem 20	Followed by Problem 22
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
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1991 AJHSME Problems/Problem 21

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