Maya has a collection of 10 baskets of oranges for... | Free GMAT Practice Question | GMAT Panda

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Maya has a collection of 10 baskets of oranges for a fundraiser, and the average number of oranges per basket is p . If she replaces one basket that contains 12 oranges with a basket that contains 27 oranges, what is the average number of oranges per basket for the new collection, in terms of p ?

Explanation	Calculations	Help
$We define T as the total number of oranges across all 10 baskets, and we translate "the average number of oranges per basket is p " into an equation.$	$T = 10 p$	Theory & Tactics Method Card TRANS1-A Click to view full details Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS3-F Click to view full details
$We then adjust T by removing the basket that "contains 12 oranges" and replacing it with one that "contains 27 oranges" .$	$T_{new} = T - 12 + 27$	Theory & Tactics Method Card TRANS1-D Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We next find the new average by dividing the updated total by 10 and simplifying the result.$	$T_{new} = 10 p + 15 \frac{T _{new}}{10} = \frac{10 p + 15}{10} = p + \frac{15}{10} = p + \frac{5 \times 3}{5 \times 2} = p + \frac{3}{2}$	Theory & Tactics Method Card FDPR2-A Click to view full details

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A

Maya has a collection of 10 baskets of oranges for a fundraiser, and the average number of oranges per basket is p . If she replaces one basket that contains 12 oranges with a basket that contains 27 oranges, what is the average number of oranges per basket for the new collection, in terms of p ?

Explanation	Calculations	Help
$We define T as the total number of oranges across all 10 baskets, and we translate "the average number of oranges per basket is p " into an equation.$	$T = 10 p$	Theory & Tactics Method Card TRANS1-A Click to view full details Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS3-F Click to view full details
$We then adjust T by removing the basket that "contains 12 oranges" and replacing it with one that "contains 27 oranges" .$	$T_{new} = T - 12 + 27$	Theory & Tactics Method Card TRANS1-D Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We next find the new average by dividing the updated total by 10 and simplifying the result.$	$T_{new} = 10 p + 15 \frac{T _{new}}{10} = \frac{10 p + 15}{10} = p + \frac{15}{10} = p + \frac{5 \times 3}{5 \times 2} = p + \frac{3}{2}$	Theory & Tactics Method Card FDPR2-A Click to view full details

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A