Evan, Fiona, and Gavin painted a total of $83$ boa... | Free GMAT Practice Question | GMAT Panda

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Evan, Fiona, and Gavin painted a total of 83 boards. Gavin painted 7 fewer boards than Fiona, and Fiona painted twice as many boards as Evan. How many boards did Evan paint?

Explanation	Calculations	Help
$We first assign variables to represent the number of boards each person painted.$	$E = boards Evan painted F = boards Fiona painted G = boards Gavin painted$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "Fiona painted twice as many boards as Evan" into an equation.$	$F = 2 E$	Theory & Tactics Method Card TRANS1-E Click to view full details
$We translate "Gavin painted 7 fewer boards than Fiona" into an equation.$	$G = F - 7$	Theory & Tactics Method Card TRANS1-D Click to view full details
$We translate "painted a total of 83 boards" into an equation.$	$E + F + G = 83$	Theory & Tactics Method Card TRANS1-C Click to view full details Theory & Tactics Method Card TRANS1-B Click to view full details
$We substitute the expressions for F and G into the total equation.$	$E + 2 E + (2 E - 7) = 83$
$We simplify and solve the resulting equation to find E .$	$5 E - 7 = 83 5 E = 90 E = 18$	Theory & Tactics Method Card EQUA1-A Click to view full details

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D

Evan, Fiona, and Gavin painted a total of 83 boards. Gavin painted 7 fewer boards than Fiona, and Fiona painted twice as many boards as Evan. How many boards did Evan paint?

Explanation	Calculations	Help
$We first assign variables to represent the number of boards each person painted.$	$E = boards Evan painted F = boards Fiona painted G = boards Gavin painted$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "Fiona painted twice as many boards as Evan" into an equation.$	$F = 2 E$	Theory & Tactics Method Card TRANS1-E Click to view full details
$We translate "Gavin painted 7 fewer boards than Fiona" into an equation.$	$G = F - 7$	Theory & Tactics Method Card TRANS1-D Click to view full details
$We translate "painted a total of 83 boards" into an equation.$	$E + F + G = 83$	Theory & Tactics Method Card TRANS1-C Click to view full details Theory & Tactics Method Card TRANS1-B Click to view full details
$We substitute the expressions for F and G into the total equation.$	$E + 2 E + (2 E - 7) = 83$
$We simplify and solve the resulting equation to find E .$	$5 E - 7 = 83 5 E = 90 E = 18$	Theory & Tactics Method Card EQUA1-A Click to view full details

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D