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.
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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.