bill is starting a gourmet cookie business. he spent $123 on baking equipment, and he will spend an…
bill is starting a gourmet cookie business. he spent $123 on baking equipment, and he will spend an additional $7 per batch on ingredients. bill will sell each batch of cookies for $10. how many batches of cookies must bill sell for his sales to equal his expenses? batches of cookies
Answer
Explanation:
Step1: Set up cost and revenue equations
Let $x$ be the number of batches. Cost $C = 123+7x$, Revenue $R = 10x$.
Step2: Set cost equal to revenue
$123 + 7x=10x$.
Step3: Solve for $x$
Subtract $7x$ from both sides: $123=10x - 7x$, so $123 = 3x$. Then $x=\frac{123}{3}=41$.
Answer:
41