Systems Word Problems

Tim is choosing between two cell phone plans. Sprint's plan charges $39.99 for a phone plane along with $0.45 per minute. Verizon charges $0.40 per minute and $44.99 for their plan. How many minutes will it take for the two plans to cost the same?

x = 100

UPS charges a $7 fee along with $0.20 per pound to ship a package. FedEx charges a $5 fee along with $0.30 per pound. How many pounds must a package be to cost the same at both UPS and FedEx?

x = 20

The cost to purchase a song from iTunes is $0.99 per song. To purchase a song from Napster, you must be a member. The Napster membership fee is $20 in addition to $0.89 per song. How many songs must be purchased for the price of Napster be equal to iTunes?

x = 200

Container A has 200 liters of water and is having water added at a rate of 6 liters per minute. Container B has 500 liters of water and is having water removed at a rate of 6 liters per minute. How many minutes will it take for the two containers to have the same amount of water?

x = 25

Bill weighs 120 pounds and is gaining 10 pounds each month. Phil weights 150 pounds and is gaining 4 pounds each month. How many months will it take for Bill to weigh the same as Phil?

x = 5