Gavin wrote the equation p is equal to the fraction with numerator 3 times open paren s plus 100 close paren and denominator 4 to represent p , the profit he makes from s sales in his lawn-mowing business. Which equation is solved for s ?
Answer
A
s is equal to 4 p over 300
B
s is equal to 400 p over 3
C
s is equal to the fraction with numerator p minus 100 and denominator 3
D
s is equal to the fraction with numerator 4 p minus 300 and denominator 3
Explanation
Start with p = 3(s + 100)/4. Multiply both sides by 4 to get 4p = 3(s + 100), then divide by 3: 4p/3 = s + 100. Subtract 100, or equivalently write 100 as 300/3, to get s = (4p − 300)/3. This matches the choice “s is equal to the fraction with numerator 4p minus 300 and denominator 3.”
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