Sam has $10$ baskets of fruit and the average numb... | Free GMAT Practice Question | GMAT Panda

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Sam has 10 baskets of fruit and the average number of oranges per basket is p . If he replaces a basket that contains 15 oranges with a basket that contains 35 oranges, what is the new average number of oranges per basket for his collection, in terms of p ?

Explanation	Calculations	Help
$We name the total number of oranges across all baskets T . From "the average number of oranges per basket is p", the total oranges across the 10 baskets equals the average times the number of baskets.$	$T = 10 p$	Theory & Tactics Method Card TRANS1-A Click to view full details Theory & Tactics Method Card TRANS3-F Click to view full details
$We update the total by translating "replaces a basket that contains 15 oranges" as subtracting 15 and "with a basket that contains 35 oranges" as adding 35.$	$T_{new} = T - 15 + 35$	Theory & Tactics Method Card TRANS1-D Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We then find the new average by dividing the updated total by 10 and simplifying.$	$T_{new} = 10 p + 20 \frac{T _{new}}{10} = \frac{10 ( p + 2 )}{10} = p + 2$	Theory & Tactics Method Card FDPR2-A Click to view full details

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C

Sam has 10 baskets of fruit and the average number of oranges per basket is p . If he replaces a basket that contains 15 oranges with a basket that contains 35 oranges, what is the new average number of oranges per basket for his collection, in terms of p ?

Explanation	Calculations	Help
$We name the total number of oranges across all baskets T . From "the average number of oranges per basket is p", the total oranges across the 10 baskets equals the average times the number of baskets.$	$T = 10 p$	Theory & Tactics Method Card TRANS1-A Click to view full details Theory & Tactics Method Card TRANS3-F Click to view full details
$We update the total by translating "replaces a basket that contains 15 oranges" as subtracting 15 and "with a basket that contains 35 oranges" as adding 35.$	$T_{new} = T - 15 + 35$	Theory & Tactics Method Card TRANS1-D Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We then find the new average by dividing the updated total by 10 and simplifying.$	$T_{new} = 10 p + 20 \frac{T _{new}}{10} = \frac{10 ( p + 2 )}{10} = p + 2$	Theory & Tactics Method Card FDPR2-A Click to view full details

Scroll horizontally to view all columns

C