Mia, Owen, and Noah contributed to a fundraiser. O... | Free GMAT Practice Question | GMAT Panda

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Mia, Owen, and Noah contributed to a fundraiser. Owen contributed twice as much as Mia, and Noah contributed 4 dollars more than Owen. Together they contributed 64 dollars. How many dollars did Mia contribute?

Explanation	Calculations	Help
$We first create variables to represent each person's contribution: we let M, O, and N represent Mia's, Owen's, and Noah's contributions, respectively.$	$M = amount Mia contributed O = amount Owen contributed N = amount Noah contributed$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "Owen contributed twice as much as Mia" into an equation.$	$O = 2 M$	Theory & Tactics Method Card TRANS1-E Click to view full details
$We translate "Noah contributed 4 dollars more than Owen" into an equation.$	$N = O + 4$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate "Together they contributed 64 dollars" into an equation.$	$M + O + N = 64$	Theory & Tactics Method Card TRANS1-C Click to view full details Theory & Tactics Method Card TRANS1-B Click to view full details
$We substitute the expressions for O and N into the total contribution equation.$	$M + 2 M + (2 M + 4) = 64$
$We simplify and solve the resulting equation to find M .$	$M + 2 M + (2 M + 4) = 64 5 M + 4 = 64 5 M = 60 M = 12$	Theory & Tactics Method Card EQUA1-A Click to view full details

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C

Mia, Owen, and Noah contributed to a fundraiser. Owen contributed twice as much as Mia, and Noah contributed 4 dollars more than Owen. Together they contributed 64 dollars. How many dollars did Mia contribute?

Explanation	Calculations	Help
$We first create variables to represent each person's contribution: we let M, O, and N represent Mia's, Owen's, and Noah's contributions, respectively.$	$M = amount Mia contributed O = amount Owen contributed N = amount Noah contributed$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "Owen contributed twice as much as Mia" into an equation.$	$O = 2 M$	Theory & Tactics Method Card TRANS1-E Click to view full details
$We translate "Noah contributed 4 dollars more than Owen" into an equation.$	$N = O + 4$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate "Together they contributed 64 dollars" into an equation.$	$M + O + N = 64$	Theory & Tactics Method Card TRANS1-C Click to view full details Theory & Tactics Method Card TRANS1-B Click to view full details
$We substitute the expressions for O and N into the total contribution equation.$	$M + 2 M + (2 M + 4) = 64$
$We simplify and solve the resulting equation to find M .$	$M + 2 M + (2 M + 4) = 64 5 M + 4 = 64 5 M = 60 M = 12$	Theory & Tactics Method Card EQUA1-A Click to view full details

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C