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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.

Respuesta :

jeffreymantooth
b is the correct answer

Answer:

Option b.

Explanation:

Let x be the initial cost of baseball bats.

Baseball bats are marked down by 42%, and baseball bats cost $21.46 after the markdown.

[tex]x-\frac{42}{100}x=21.46[/tex]

[tex]x-0.42x=21.46[/tex]

[tex]0.58x=21.46[/tex]

[tex]x=\frac{21.46}{0.58}[/tex]

[tex]x=37[/tex]

The initial cost of baseball bats is $37.

[tex]\frac{42}{100}(37)=15.54[/tex]

The price of baseball bats reduces by $15.54.

Let y be the initial cost of hockey sticks.

Hockey sticks are marked down by 29% and hockey sticks cost $39.05 after the markdown.

[tex]x-\frac{29}{100}x=39.05[/tex]

[tex]0.71x=39.05[/tex]

[tex]x=\frac{39.05}{0.71}[/tex]

[tex]x=55[/tex]

The initial cost of Hockey sticks is $55.

[tex]\frac{29}{100}(55)=15.95[/tex]

The price of baseball bats reduces by $15.95.

Since 15.95 > 15.54 and [tex]15.95 - 15.54=0.41[/tex], it means hockey sticks had their prices reduced by $0.41 more than baseball bats.

Therefore, the correct option is b.

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