# Thread: Solving this word problem

1. ## Solving this word problem

The answer to this problem is 2 hours and 30 minutes, I'm just not sure how one would go about solving it.

On Conner's cellphone it costs 6 cents/min for a phone call, and 3 cents/min to play a game. Conner can spend 18$on the phone bill. A: Make an equation in standard form for the number of minutes that Connor can talk on the phone, t, and play games, g. B: How long can Connor talk on the phone, in hours, if he plays video games for 5 hours? 2. Originally Posted by cherrybaby The answer to this problem is 2 hours and 30 minutes, I'm just not sure how one would go about solving it. On Conner's cellphone it costs 6 cents/min for a phone call, and 3 cents/min to play a game. Conner can spend 18$ on the phone bill.

A: Make an equation in standard form for the number of minutes that Connor can talk on the phone, t, and play games, g.

B: How long can Connor talk on the phone, in hours, if he plays video games for 5 hours?
[A].

If Conner used t minutes on talking on the phone, then at 6 cents/min, he spent t*6 = 6t cents.

If he used g minutes on playing games on the phone, at 3 cents/min, he spent g*3 = 3g cents.

He has $18 or 1800 cents to spend, so 6t +3g = 1800 ---------------------------(1) ------------------------- [B]. If he plays for 5 hrs, 5hrs *60min/hr = 5*60 = 300 minutes, then g = 300 min. Substitute that into (1), 6t +3(300) = 1800 6t = 1800 -900 6t = 900 t = 900/6 = 150 min 150min *1hr/60min = 150/60 = 2.5 hrs or 2hrs and 30min. Therefore, Conner can talk for 2 hours and 30 minutes with the$18 he has.