Subjects algebra

Price Comparison 06Cd21

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1. **State the problem:** We need to compare the prices of cereal boxes at Myesha's and Tamika's stores by finding a common number of boxes or a common price. 2. **Given data:** - Myesha's store: 9 boxes cost 52.00 - Tamika's store: 36 boxes cost 205.00 3. **Find the unit price (price per box) for each store:** - Myesha's unit price: $$\frac{52.00}{9} \approx 5.7777$$ dollars per box - Tamika's unit price: $$\frac{205.00}{36} \approx 5.6944$$ dollars per box 4. **Find a common number of boxes to compare total prices:** The least common multiple (LCM) of 9 and 36 is 36. 5. **Calculate the cost for 36 boxes at Myesha's store:** $$36 \times 5.7777 = 208.00$$ (rounded to nearest cent) 6. **Compare costs for 36 boxes:** - Myesha's store: 208.00 - Tamika's store: 205.00 7. **Conclusion:** Tamika's store has the better price for the same number of boxes. **Final answers:** - At Myesha's store, 36 boxes cost 208.00. - At Tamika's store, 36 boxes cost 205.00. - Tamika's store has the better price.