Question

A sporting goods store is having a large sale event. Baseball bats are marked down by 42%, and hockey sticks are marked down by 29%. If baseball bats cost $21.46 after the markdown and hockey sticks cost $39.05 after the markdown, which item’s price was reduced by more, and by how many more dollars was it reduced? Round all dollar values to the nearest cent.
a.
Hockey sticks had their prices reduced by $2.31 more than baseball bats.
b.
Hockey sticks had their prices reduced by $0.41 more than baseball bats.
c.
Baseball bats had their prices reduced by $4.22 more than hockey sticks.
d.
Baseball bats had their prices reduced by $0.59 more than hockey sticks.

Answer 1

Baseball bats: 21.46 = 0.58·original → original = 21.46/0.58 = $37.00. Reduction = 37.00 − 21.46 = $15.54.

Hockey sticks: 39.05 = 0.71·original → original = 39.05/0.71 = $55.00. Reduction = 55.00 − 39.05 = $15.95.

Difference = 15.95 − 15.54 = $0.41. So hockey sticks were reduced by $0.41 more.

Answer: b.