word problem

Question

If the half time show is 30 minutes which is 1/7 of the total game time, how many hours is the game?

Answer 1

Here's what we know:

30 min = ¹/₇ x

x = full game

30 min = ¹/₂ hr

 

So what we need to do is isolate x. We multiply both sides by 7:

7 * ¹/₂ hr = ¹/₇ x * 7

⁷/₂ hr = x

3 ¹/₂ hr = x