Question

at bo’s store, the cost of seven bars of soap is $22.59. at taylor’s store, the cost of ten bars of the same soap is $32.17. compare prices by finding a pair of common values (same number of soap bars or same price). round your answers to the nearest cent if necessary.

answer attempt 1 out of 2

at bo’s store, \boxed{} bars of soap cost $\boxed{}. at taylor’s store, \boxed{}
bars of soap cost $\boxed{}. \boxed{} store has the better price.

Explanation:

Step1: Find unit price at Bo's store

To find the unit price (price per bar) at Bo's store, we divide the total cost by the number of bars. So, the unit price \( p_{Bo} = \frac{22.59}{7} \).
\( p_{Bo} = 22.59 \div 7 \approx 3.23 \) (rounded to the nearest cent).

Step2: Find total cost for 10 bars at Bo's store

Now, to find the cost of 10 bars at Bo's store, we multiply the unit price by 10. So, \( C_{Bo,10} = 3.23 \times 10 = 32.30 \).

Step3: Find unit price at Taylor's store

To find the unit price at Taylor's store, we divide the total cost by the number of bars. So, the unit price \( p_{Taylor} = \frac{32.17}{10} = 3.17 \) (rounded to the nearest cent).

Step4: Find total cost for 7 bars at Taylor's store

Now, to find the cost of 7 bars at Taylor's store, we multiply the unit price by 7. So, \( C_{Taylor,7} = 3.17 \times 7 = 22.19 \).

Step5: Compare the costs for 10 bars (or 7 bars)

We can compare the cost of 10 bars at Bo's store (\( \$32.30 \)) with the cost of 10 bars at Taylor's store (\( \$32.17 \)). Since \( 32.17 < 32.30 \), Taylor's store has a better price for 10 bars. Or we can compare the cost of 7 bars: Bo's costs \( \$22.59 \), Taylor's costs \( \$22.19 \), and \( 22.19 < 22.59 \), so Taylor's is better.

Answer:

At Bo's store, 10 bars of soap cost \$32.30. At Taylor's store, 10 bars of soap cost \$32.17. Taylor's store has the better price. (Or At Bo's store, 7 bars of soap cost \$22.59. At Taylor's store, 7 bars of soap cost \$22.19. Taylor's store has the better price.)