Sarah has a set of 9 crates of apples for a donati... | Free GMAT Practice Question | GMAT Panda

👋 Hi! I'm GMAT Panda. Ask me anything about this question, or click a button below to get started!

Sarah has a set of 9 crates of apples for a donation drive, and the average number of apples per crate is a . If she trades one crate that contains 21 apples for another that contains 33 apples, what is the average number of apples per crate for the new set, in terms of a ?

Explanation	Calculations	Help
$We first represent the total number of apples as 9 times the average number per crate, a .$	$T = 9 a$	Theory & Tactics Method Card TRANS3-F Click to view full details
$We then find the new total by subtracting the crate with 21 apples and adding the crate with 33 apples.$	$T_{new} = T - 21 + 33$	Theory & Tactics Method Card TRANS1-D Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We then divide the new total by 9 to obtain the new average and simplify the result.$	$\frac{T _{new}}{9} = \frac{9 a + 12}{9} = a + \frac{12}{9} = a + \frac{3 \times 4}{3 \times 3} = a + \frac{4}{3}$	Theory & Tactics Method Card FDPR2-A Click to view full details

Scroll horizontally to view all columns

B

Sarah has a set of 9 crates of apples for a donation drive, and the average number of apples per crate is a . If she trades one crate that contains 21 apples for another that contains 33 apples, what is the average number of apples per crate for the new set, in terms of a ?

Explanation	Calculations	Help
$We first represent the total number of apples as 9 times the average number per crate, a .$	$T = 9 a$	Theory & Tactics Method Card TRANS3-F Click to view full details
$We then find the new total by subtracting the crate with 21 apples and adding the crate with 33 apples.$	$T_{new} = T - 21 + 33$	Theory & Tactics Method Card TRANS1-D Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We then divide the new total by 9 to obtain the new average and simplify the result.$	$\frac{T _{new}}{9} = \frac{9 a + 12}{9} = a + \frac{12}{9} = a + \frac{3 \times 4}{3 \times 3} = a + \frac{4}{3}$	Theory & Tactics Method Card FDPR2-A Click to view full details

Scroll horizontally to view all columns

B