Question

Dots sells T-shirts ($5) and shorts ($9). In April, total sales were $570. People bought 2 times as many T-shirts as shorts. How many T-shirts and shorts did Dots sell?

Answer 1

The number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.

What is system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Dots sells T-shirts ($5) and shorts ($9).

• In April, total sales were $570.
• People bought 2 times as many T-shirts as shorts.

Let suppose the number of T-shirts sold is x and shorts sold is y. Dots sells T-shirts ($5) and shorts ($9) with total sales of $570. Thus,

$5x+9y=570$

Solve it further,

$5x+9y=570\\9y=570-5x\\y=\dfrac{570-5x}{9}$                  ....1

People bought 2 times as many T-shirts as shorts. Thus,

$x=2y$                          ....1

Put the value of y form equation in this equation as,

$x=2\times\dfrac{570-5x}{9}\\9x=1140-10x\\10x+9x=1140\\x=\dfrac{1140}{19}\\x=60$

Put this value of x in equation 2 as,

$x=2\times y\\60=2\times y\\y=\dfrac{60}{2}\\y=30$

Thus, the number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.

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