Carl, Devin, and Mia collected a total of $62$ dol... | Free GMAT Practice Question | GMAT Panda

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Carl, Devin, and Mia collected a total of 62 dollars for the school carnival. Mia collected 7 dollars more than Devin, and Devin collected twice as many as Carl. How many dollars did Carl collect?

Explanation	Calculations	Help
$We name variables for each person's collection: C is the amount Carl collected, D is the amount Devin collected, and M is the amount Mia collected.$	$C = amount Carl collected D = amount Devin collected M = amount Mia collected$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "Devin collected twice as many as Carl" into an equation.$	$D = 2 C$	Theory & Tactics Method Card TRANS1-E Click to view full details
$We translate "Mia collected 7 dollars more than Devin" into an equation.$	$M = D + 7$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate "collected a total of 62 dollars" into an equation.$	$C + D + M = 62$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We substitute the expressions for D and M into the total equation.$	$C + 2 C + (2 C + 7) = 62$
$We simplify and solve the resulting equation to find C .$	$5 C + 7 = 62 5 C = 55 C = 11$	Theory & Tactics Method Card EQUA1-A Click to view full details

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C

Carl, Devin, and Mia collected a total of 62 dollars for the school carnival. Mia collected 7 dollars more than Devin, and Devin collected twice as many as Carl. How many dollars did Carl collect?

Explanation	Calculations	Help
$We name variables for each person's collection: C is the amount Carl collected, D is the amount Devin collected, and M is the amount Mia collected.$	$C = amount Carl collected D = amount Devin collected M = amount Mia collected$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "Devin collected twice as many as Carl" into an equation.$	$D = 2 C$	Theory & Tactics Method Card TRANS1-E Click to view full details
$We translate "Mia collected 7 dollars more than Devin" into an equation.$	$M = D + 7$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate "collected a total of 62 dollars" into an equation.$	$C + D + M = 62$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We substitute the expressions for D and M into the total equation.$	$C + 2 C + (2 C + 7) = 62$
$We simplify and solve the resulting equation to find C .$	$5 C + 7 = 62 5 C = 55 C = 11$	Theory & Tactics Method Card EQUA1-A Click to view full details

Scroll horizontally to view all columns

C