Hamid donated \( 20 \% \) of his savings and still had \( \$ 180 \) of his savingsteft. How much money did he donate? (1) \( \$ 144 \)

To find out how much money Hamid donated, we can set up an equation based on the information given. Let's denote the total amount of Hamid's savings as \( x \). Since Hamid donated \( 20\% \) of his savings, the amount he donated is \( 0.20x \). After donating, Hamid still had \( \$180 \) of his savings. This means that the amount he donated is subtracted from his total savings, leaving him with \( \$180 \). Therefore, we can set up the equation: \[ x - 0.20x = 180 \] Solving this equation will give us the total amount of Hamid's savings, and from that, we can calculate the amount he donated. Let's solve the equation step by step. Solve the equation by following steps: - step0: Solve for \(x\): \(x-0.2x=180\) - step1: Subtract the terms: \(0.8x=180\) - step2: Divide both sides: \(\frac{0.8x}{0.8}=\frac{180}{0.8}\) - step3: Divide the numbers: \(x=225\) The solution to the equation is \( x = 225 \), which means Hamid's total savings were \( \$225 \). Now, we can calculate the amount Hamid donated by finding \( 20\% \) of his total savings: \[ 0.20 \times 225 = 45 \] Therefore, Hamid donated \( \$45 \).