joy bought some granola from the bulk bins at the grocery store. emilio bought one - third as much granola…

joy bought some granola from the bulk bins at the grocery store. emilio bought one - third as much granola as joy, but he also spent $4.41 on milk and $6.17 on fresh berries. joy and emilio ended up spending the same amount of money. how much did joy spend on granola?

joy bought some granola from the bulk bins at the grocery store. emilio bought one - third as much granola as joy, but he also spent $4.41 on milk and $6.17 on fresh berries. joy and emilio ended up spending the same amount of money. how much did joy spend on granola?

Answer

Explanation:

Step1: Let Joy's spending on granola be $x$.

Emilio spent $\frac{1}{3}x + 4.41+6.17$.

Step2: Set up the equation.

Since they spent the same amount, $x=\frac{1}{3}x + 4.41 + 6.17$.

Step3: Solve the equation.

Subtract $\frac{1}{3}x$ from both sides: $x-\frac{1}{3}x=\frac{1}{3}x-\frac{1}{3}x + 4.41 + 6.17$. $\frac{2}{3}x=10.58$. Multiply both sides by $\frac{3}{2}$: $x = 10.58\times\frac{3}{2}$. $x=15.87$.

Answer:

$15.87$