Subjects algebra

Soap Price Comparison 15910B

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1. **State the problem:** We need to compare the prices of soap bars at Mason's and Hassan's stores by finding a common number of bars or a common price. 2. **Given data:** - Mason's store: 9 bars cost 38.00 - Hassan's store: 27 bars cost 112.00 3. **Find the unit price at each store:** - Mason's unit price = $\frac{38.00}{9}$ - Hassan's unit price = $\frac{112.00}{27}$ 4. **Calculate unit prices:** $$\text{Mason's unit price} = \frac{38.00}{9} \approx 4.22$$ $$\text{Hassan's unit price} = \frac{112.00}{27} \approx 4.15$$ 5. **Find a common number of bars to compare total costs:** The least common multiple of 9 and 27 is 27. 6. **Calculate cost for 27 bars at Mason's store:** $$27 \times 4.22 = 113.94$$ 7. **Compare costs for 27 bars:** - Mason's store: 27 bars cost approximately 113.94 - Hassan's store: 27 bars cost 112.00 8. **Conclusion:** Hassan's store has the better price. **Final answer:** At Mason's store, 27 bars of soap cost 113.94. At Hassan's store, 27 bars of soap cost 112.00. Hassan's store has the better price.