A jar contains $80$ marbles, all of which are red,... | Free GMAT Practice Question | GMAT Panda

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A jar contains 80 marbles, all of which are red, blue, or green. If the jar contains p red marbles and 5 more blue marbles than red, which of the following expresses the number of green marbles in terms of p ?

Explanation	Calculations	Help
$We first create non-ambiguous variables for each color of marble.$	$p = number of red marbles b = number of blue marbles g = number of green marbles$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the relative comparison "5 more blue marbles than red" into a mathematical expression.$	$b = p + 5$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate the total count statement "A jar contains 80 marbles" into an equation for the sum of the marbles.$	$p + b + g = 80$	Theory & Tactics Method Card TRANS1-B Click to view full details
$We substitute the expression for the number of blue marbles into the total count equation and then isolate the number of green marbles.$	$p + (p + 5) + g = 80 2 p + 5 + g = 80 2 p + g = 75 g = 75 - 2 p$	Theory & Tactics Method Card EQUA1-A Click to view full details

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A

A jar contains 80 marbles, all of which are red, blue, or green. If the jar contains p red marbles and 5 more blue marbles than red, which of the following expresses the number of green marbles in terms of p ?

Explanation	Calculations	Help
$We first create non-ambiguous variables for each color of marble.$	$p = number of red marbles b = number of blue marbles g = number of green marbles$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the relative comparison "5 more blue marbles than red" into a mathematical expression.$	$b = p + 5$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate the total count statement "A jar contains 80 marbles" into an equation for the sum of the marbles.$	$p + b + g = 80$	Theory & Tactics Method Card TRANS1-B Click to view full details
$We substitute the expression for the number of blue marbles into the total count equation and then isolate the number of green marbles.$	$p + (p + 5) + g = 80 2 p + 5 + g = 80 2 p + g = 75 g = 75 - 2 p$	Theory & Tactics Method Card EQUA1-A Click to view full details

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A