# Problem of the Week Problem C Gone Shopping

While grocery shopping, Terry has a way to approximate the total cost of his purchases. He simply approximates that each item will cost $$\3.00$$.

One day, Terry purchased $$20$$ items. He purchased items that each had an actual cost of either $$\1.00$$, $$\3.00$$, or $$\7.50$$. Exactly seven of the purchased items had an actual cost of $$\3.00$$. If the total actual cost of the $$20$$ items was the same as the total approximated cost, how many items had an actual cost of $$\7.50$$?

Themes: Algebra, Number Sense