CPM Homework Help : AC Problem 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?

Hint 1:

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

Hint 2:

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.

Hint 3:

Use the elimination method to solve for $t$ .