a sporting goods store is having a large sale...
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 items 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
# Explanation:
## Step1: Find original price of baseball bats
Let original price be $x$. Then $(1 - 0.42)x=21.46$, so $x=\frac{21.46}{0.58}=37$. Reduction amount is $37 - 21.46 = 15.54$.
## Step2: Find original price of hockey sticks
Let original price be $y$. Then $(1 - 0.29)y = 39.05$, so $y=\frac{39.05}{0.71}=55$. Reduction amount is $55 - 39.05 = 15.95$.
## Step3: Find difference in reduction amounts
$15.95-15.54 = 0.41$.
# Answer:
b. Hockey sticks had their prices reduced by $0.41 more than baseball bats.