Mia and Lee are assembling gift baskets for a char... | Free GMAT Practice Question | GMAT Panda

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Mia and Lee are assembling gift baskets for a charity event. Mia thinks that there should be twice as many cookies as chocolates, but Lee thinks the number of chocolates should be 7 more than one-third of the number of cookies. How many chocolates should be included so that Mia and Lee can agree on the number of cookies to include?

Explanation	Calculations	Help
$We first create variables to represent the number of cookies and chocolates.$	$K = number of cookies C = number of chocolates$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate Mia's statement "twice as many cookies as chocolates" into an equation.$	$K = 2 C$	Theory & Tactics Method Card TRANS1-E Click to view full details
$We translate Lee's statement "number of chocolates should be 7 more than one-third of the number of cookies" into an equation.$	$C = \frac{1}{3} K + 7$	Theory & Tactics Method Card TRANS2-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We substitute the expression for K from Mia's equation into Lee's equation.$	$C = \frac{1}{3} (2 C) + 7$
$We subtract \frac{2}{3} C from both sides to group like terms.$	$C - \frac{2}{3} C = 7$	Theory & Tactics Method Card EQUA1-B Click to view full details
$We divide both sides by \frac{1}{3} to solve for C .$	$\frac{1}{3} C = 7 C = 7 \times 3 = 21$	Theory & Tactics Method Card EQUA1-C Click to view full details

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C

Mia and Lee are assembling gift baskets for a charity event. Mia thinks that there should be twice as many cookies as chocolates, but Lee thinks the number of chocolates should be 7 more than one-third of the number of cookies. How many chocolates should be included so that Mia and Lee can agree on the number of cookies to include?

Explanation	Calculations	Help
$We first create variables to represent the number of cookies and chocolates.$	$K = number of cookies C = number of chocolates$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate Mia's statement "twice as many cookies as chocolates" into an equation.$	$K = 2 C$	Theory & Tactics Method Card TRANS1-E Click to view full details
$We translate Lee's statement "number of chocolates should be 7 more than one-third of the number of cookies" into an equation.$	$C = \frac{1}{3} K + 7$	Theory & Tactics Method Card TRANS2-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We substitute the expression for K from Mia's equation into Lee's equation.$	$C = \frac{1}{3} (2 C) + 7$
$We subtract \frac{2}{3} C from both sides to group like terms.$	$C - \frac{2}{3} C = 7$	Theory & Tactics Method Card EQUA1-B Click to view full details
$We divide both sides by \frac{1}{3} to solve for C .$	$\frac{1}{3} C = 7 C = 7 \times 3 = 21$	Theory & Tactics Method Card EQUA1-C Click to view full details

Scroll horizontally to view all columns

C