Question

Dots sells a total of 266 T-shirts ($2) and shorts ($4). In April, total sales were $672.How many T-shirts and shorts did Dots sell? Hint: Let S = Shorts.

Answer 1

Let x be the number of t-shirts and y the number of shorts they sold. Since in total they sold 266 items we have the equation:

$x+y=266$

Now we know that each shirt cost $2 and each short cost $4 and that the total sales were $672 then we have the equation:

$2x+4y=672$

Hence we have the system of equations:

$\begin{gathered} x+y=266 \\ 2x+4y=672 \end{gathered}$

Solving for y from the first equation we have:

$y=266-x$

Plugging this in to the second equation we have:

$\begin{gathered} 2x+4(266-x)=672 \\ 2x+1064-4x=672 \\ -2x=672-1064 \\ -2x=-392 \\ x=\frac{-392}{-2} \\ x=196 \end{gathered}$

Plugging this value in the equation for y we have:

$y=266-196=70$

Therefore the sold 196 shirts and 70 shorts.