AMO · 2027 · Grades 6-7 · Self-study SET 30 Question 14

Question 14

A mother makes $x$ cakes in 2 hours and $y$ pizzas in 3 hours. How many cakes and pizzas altogether can she make in 6 hours? Assume she makes both together, each at the same constant rate as when making it separately.

**Input:** Choose one option.

$6\left(\frac{x}{2}+\frac{y}{3}\right)$
$6\left(\frac{y}{2}+\frac{x}{3}\right)$
$6(2x+3y)$
$6(3x+2y)$
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