uey spends \( \frac{3}{8} \) of the money sho has saved this month on a book that costs 55.25 Calculate how much money Lucy has saved this month.

To find out how much money Lucy has saved this month, we can set up the equation based on the information provided. If Lucy spends \( \frac{3}{8} \) of her saved money on a book costing 55.25, we can express this as: \[ \frac{3}{8} \times \text{Total Savings} = 55.25 \] Let \( x \) represent Lucy's total savings. Therefore: \[ \frac{3}{8}x = 55.25 \] To isolate \( x \), multiply both sides by \( \frac{8}{3} \): \[ x = 55.25 \times \frac{8}{3} \] Calculating that: \[ x = 55.25 \times 2.6667 \approx 147.00 \] So, Lucy has saved approximately \( 147.00 \) this month.