### Home > AC > Chapter 7 > Lesson 7.2.2 > Problem7-70

7-70.

Write and solve an equation (or a system of equations) for the situation below. Define your variable(s) and write your solution as a sentence.

The Physical Education Department sells t-shirts for $12$ and shorts for $8$. One month, they sold $77$ total items for $780$ in total. How many t-shirts did they sell?

Let $t = \text{the number of t-shirts}$ and $s = \text{the number of shorts}$.

Have one equation explain the relationship between the number of t-shirts and shorts.
Have the other equation explain the relationship between the price of t-shirts and shorts.

Use the elimination method to solve for $t$.