(11) Anna and Xinyi had an equal amount of money ot first. After Anna spent \( \$ 245 \) and Xinyl spent \( \$ 74 \), Xinyi had 4 times as muc money as Anna. How much money did each girl have at first?

Let's solve the problem step by step. 1. **Let’s define the initial amount each girl had:** - Let \( x \) be the amount of money each Anna and Xinyi had initially. 2. **After their expenditures:** - **Anna's remaining money:** \( x - 245 \) dollars - **Xinyi's remaining money:** \( x - 74 \) dollars 3. **According to the problem, after spending, Xinyi had 4 times as much money as Anna:** \[ x - 74 = 4(x - 245) \] 4. **Solve for \( x \):** \[ x - 74 = 4x - 980 \] \[ -74 + 980 = 4x - x \] \[ 906 = 3x \] \[ x = \frac{906}{3} = 302 \] 5. **Conclusion:** - **Each girl initially had** \( \$302 \). **Answer:** Each girl had $302 initially.