Question

1. here are the prices for bottles of water that are the same brand and the same size at different stores. which store offers the best deal? explain your reasoning. store x: 12 bottles for $3.24 store y: 8 bottles for $2.08 store z: 28 cents per bottle

Explanation:

Step1: Calculate cost per bottle for Store X

To find the cost per bottle at Store X, divide the total cost by the number of bottles. The total cost is $3.24 and the number of bottles is 12. So, the cost per bottle is $\frac{3.24}{12}$ dollars. Converting this to cents (since 1 dollar = 100 cents), we have $\frac{3.24\times100}{12}=\frac{324}{12} = 27$ cents per bottle.

Step2: Calculate cost per bottle for Store Y

For Store Y, the total cost is $2.08 and the number of bottles is 8. The cost per bottle in dollars is $\frac{2.08}{8}$, and converting to cents, we get $\frac{2.08\times100}{8}=\frac{208}{8}=26$ cents per bottle.

Step3: Compare the costs per bottle

Store X: 27 cents per bottle, Store Y: 26 cents per bottle, Store Z: 28 cents per bottle. We compare these values: 26 < 27 < 28.

Answer:

Store Y offers the best deal because the cost per bottle at Store Y (26 cents) is less than the cost per bottle at Store X (27 cents) and Store Z (28 cents).