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A sporting good store sells one type of baseball bat and one type of baseball. The cost for 2 bats and 4 balls is $160.

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A sporting good store sells one type of baseball bat and one type of baseball. The cost for 2 bats and 4 balls is $160.

by BTGmoderatorDC » Sat Feb 27, 2021 5:34 pm

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A sporting good store sells one type of baseball bat and one type of baseball. The cost for 2 bats and 4 balls is $160. The cost for 1 bat and 6 balls is $160, as well. If someone were to buy an equal number of bats and balls, at most how many bats can he purchase if he has a budget of $240 for the purchase?

A. 2
B. 3
C. 4
D. 5
E. 6


OA C

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Re: A sporting good store sells one type of baseball bat and one type of baseball. The cost for 2 bats and 4 balls is $1

by Scott@TargetTestPrep » Sat Mar 13, 2021 3:48 pm
BTGmoderatorDC wrote: ↑
Sat Feb 27, 2021 5:34 pm
 A sporting good store sells one type of baseball bat and one type of baseball. The cost for 2 bats and 4 balls is $160. The cost for 1 bat and 6 balls is $160, as well. If someone were to buy an equal number of bats and balls, at most how many bats can he purchase if he has a budget of $240 for the purchase?

A. 2
B. 3
C. 4
D. 5
E. 6


OA C

Solution:

We can let b = the cost for a ball and t = the cost for a bat, thus:

2t + 4b = 160

t + 2b = 80 (1)

and

t + 6b = 160 (2)

Subtracting equation one from equation two, we have:

4b = 80

b = 20

So t = 40

We can let n = the number of bats and balls, and create the equation:

20n + 40n = 240

60n = 240

n = 4

Answer: C

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