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.
Soap Price Comparison 15910B
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.