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

[Vincen]

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

[Scott@TargetTestPrep]

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