Alex, Priya, and Marco organized a bake sale and r... | Free GMAT Practice Question | GMAT Panda

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Alex, Priya, and Marco organized a bake sale and raised a total of 77 dollars for charity. Priya raised 8 dollars more than Alex, and Marco raised 3 times as much as Priya. How many dollars did Alex raise?

Explanation	Calculations	Help
$We first name the variables: A as the amount Alex raised, P as the amount Priya raised, and M as the amount Marco raised.$	$A = amount Alex raised, P = amount Priya raised, M = amount Marco raised$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "Priya raised 8 dollars more than Alex" into an equation.$	$P = A + 8$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate "Marco raised 3 times as much as Priya" into an equation.$	$M = 3 P$	Theory & Tactics Method Card TRANS1-E Click to view full details
$We translate "raised a total of 77 dollars for charity" into an equation.$	$A + P + M = 77$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We substitute the expressions for P and M into the total equation.$	$A + (A + 8) + 3 (A + 8) = 77$
$We simplify and solve the resulting equation to find A .$	$A + A + 8 + 3 A + 24 = 77 5 A + 32 = 77 5 A = 45 A = 9$	Theory & Tactics Method Card EQUA1-A Click to view full details

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A

Alex, Priya, and Marco organized a bake sale and raised a total of 77 dollars for charity. Priya raised 8 dollars more than Alex, and Marco raised 3 times as much as Priya. How many dollars did Alex raise?

Explanation	Calculations	Help
$We first name the variables: A as the amount Alex raised, P as the amount Priya raised, and M as the amount Marco raised.$	$A = amount Alex raised, P = amount Priya raised, M = amount Marco raised$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "Priya raised 8 dollars more than Alex" into an equation.$	$P = A + 8$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate "Marco raised 3 times as much as Priya" into an equation.$	$M = 3 P$	Theory & Tactics Method Card TRANS1-E Click to view full details
$We translate "raised a total of 77 dollars for charity" into an equation.$	$A + P + M = 77$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We substitute the expressions for P and M into the total equation.$	$A + (A + 8) + 3 (A + 8) = 77$
$We simplify and solve the resulting equation to find A .$	$A + A + 8 + 3 A + 24 = 77 5 A + 32 = 77 5 A = 45 A = 9$	Theory & Tactics Method Card EQUA1-A Click to view full details

Scroll horizontally to view all columns

A