One day a store sold 27 sweatshirts. White ones cost $11.95 and yellow ones cost $12.50. In all, $331.45 worth of sweatshirts were sold. How many of each color were sold?

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Answer 1 · 2016-11-17T13:36:20

There are 16 yellow and 11 white sweatshirts

Let the count of yellow sweatshirts be $y$
Let the count of white sweatshirts be $w$

As such we are given that
$w+y=27$

Subtract y from both sides

$w=27-y$ ........................Equation(1)
$color(white)(.)$

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Also given: $[wxx$11.95]+[yxx$12.50] = $331.45$

Drop the $ sign

$[color(red)(w)xx11.95]+[yxx12.50] = 331.45$ ................Equation(2)

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Substitute for $color(red)(w)$ in equation(2) using equation(1)

$[color(red)((27-y))xx11.95]+12.5y=331.45$

$322.65-11.95y" "+12.5y=331.45$

$322.65+0.55y=331.45$

$0.55y=331.45-322.65$

$0.55y=8.8$

$y=8.8/.55=16$
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Substitute for $w$ in equation(1)

$w=27-y" "->" "w=27-16$

w=11#
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There are 16 yellow and 11 white sweatshirts