A jar contains 68 marbles, all of which are either... | Free GMAT Practice Question | GMAT Panda

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A jar contains 68 marbles, all of which are either red, blue, or yellow. If the jar contains t red marbles and 5 more blue marbles than red, which of the following gives the number of yellow marbles the jar contains in terms of t ?

Explanation	Calculations	Help
$We create variables to represent the number of marbles of each color.$	$t = number of red marbles b = number of blue marbles y = number of yellow marbles$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the relative comparison "5 more blue marbles than red" into a mathematical expression.$	$b = t + 5$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate "A jar contains 68 marbles" into an equation summing all the marbles.$	$t + b + y = 68$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We substitute the expression for b into the total equation and then solve for y .$	$t + b + y = 68 t + (t + 5) + y = 68 2 t + 5 + y = 68 2 t + y = 63 y = 63 - 2 t$	Theory & Tactics Method Card EQUA1-A Click to view full details

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B

A jar contains 68 marbles, all of which are either red, blue, or yellow. If the jar contains t red marbles and 5 more blue marbles than red, which of the following gives the number of yellow marbles the jar contains in terms of t ?

Explanation	Calculations	Help
$We create variables to represent the number of marbles of each color.$	$t = number of red marbles b = number of blue marbles y = number of yellow marbles$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate the relative comparison "5 more blue marbles than red" into a mathematical expression.$	$b = t + 5$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate "A jar contains 68 marbles" into an equation summing all the marbles.$	$t + b + y = 68$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We substitute the expression for b into the total equation and then solve for y .$	$t + b + y = 68 t + (t + 5) + y = 68 2 t + 5 + y = 68 2 t + y = 63 y = 63 - 2 t$	Theory & Tactics Method Card EQUA1-A Click to view full details

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B