A vendor buys $10 t$-shirts at an average price of $\$14$ per $t$-shirt. He then buys 15 more $t$-shirts at an

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members; Thanked: 6 times

by Vincen » Thu May 07, 2020 11:28 am

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A vendor buys $10 t$-shirts at an average price of $\$14$ per $t$-shirt. He then buys 15 more $t$-shirts at an average price of $\$11$ per $t$-shirt. What is the average price per $t$-shirt that the vendor paid for these purchases?

A. $12.20
B. $12.50
C. $12.55
D. $12.70
E. $13.00

[spoiler]OA=A[/spoiler]

Source: Veritas Prep

Source: Beat The GMAT — Problem Solving | Thu May 07, 2020 11:28 am

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Re: A vendor buys $10 t$-shirts at an average price of $\$14$ per $t$-shirt. He then buys 15 more $t$-shirts at

by Scott@TargetTestPrep » Sat May 09, 2020 12:00 pm

Vincen wrote: ↑
Thu May 07, 2020 11:28 am
A vendor buys $10 t$-shirts at an average price of $\$14$ per $t$-shirt. He then buys 15 more $t$-shirts at an average price of $\$11$ per $t$-shirt. What is the average price per $t$-shirt that the vendor paid for these purchases?

A. $12.20
B. $12.50
C. $12.55
D. $12.70
E. $13.00

[spoiler]OA=A[/spoiler]

Source: Veritas Prep

We use the weighted average formula to compute the average price per t-shirts:

(10 * 14 + 15 * 11) / (10 + 15) = (140 + 165) / 25 = 305/25 = 12.20

Answer: A

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