# 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? ##### 1 Answer Nov 17, 2016 There are 16 yellow and 11 white sweatshirts #### Explanation: 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) $\textcolor{w h i t e}{.}$............................................................................. Also given: [wxx$11.95]+[yxx$12.50] =$331.45

Drop the $sign $\left[\textcolor{red}{w} \times 11.95\right] + \left[y \times 12.50\right] = 331.45$................Equation(2) ........................................................................... Substitute for $\textcolor{red}{w}$in equation(2) using equation(1) $\left[\textcolor{red}{\left(27 - y\right)} \times 11.95\right] + 12.5 y = 331.45$$322.65 - 11.95 y \text{ } + 12.5 y = 331.45$$322.65 + 0.55 y = 331.45$$0.55 y = 331.45 - 322.65$$0.55 y = 8.8$$y = \frac{8.8}{.55} = 16$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Substitute for $w$in equation(1) $w = 27 - y \text{ "->" } w = 27 - 16\$

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