4. gayle started with 30 pairs of shoes and donated x pairs. her sister bonnie started with 22 pairs of…
4. gayle started with 30 pairs of shoes and donated x pairs. her sister bonnie started with 22 pairs of shoes and donated half as many pairs as gayle did. how many pairs of shoes did gayle donate if they had the same number of shoes remaining?\na. equation: \nb. solution:
Answer
Explanation:
Step1: Set up the equation
Gayle has $30 - x$ shoes left, Bonnie has $22-\frac{x}{2}$ shoes left. Since they have the same number of shoes remaining, the equation is $30 - x=22-\frac{x}{2}$.
Step2: Solve the equation
First, add $x$ to both sides: $30=22-\frac{x}{2}+x$. Simplify the right - hand side: $30 = 22+\frac{x}{2}$. Then subtract 22 from both sides: $30 - 22=\frac{x}{2}$. So, $8=\frac{x}{2}$. Multiply both sides by 2 to solve for $x$: $x = 16$.
Answer:
16