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Andy’s Rental Car charges an initial fee of $20 plus an additional $30 per day to rent a car. Buddy’s Rental Car charges an initial fee of $36 plus an additional $28 per day. How many days is the total cost charged by the companies?
20 + 30x = 36 + 28x
A water tank holds 256 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 384 gallons but is leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
256 - 3g = 384 - 5g
Mike weighs 200 pounds and plans to lose 1.5 pounds a week. Jeff weighs 180 pounds and plans to lose 0.5 pound a week. When will Mike weigh less than Jeff?
200 - 1.5p = 180 - 0.5p
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?
15 + 3h = 21 = h
One house sitter charges $40 a day. Another house sitter charges an initial fee of $100 plus $15 per day. After how many days is the fee charged by the two sitters the same?
40x = 100 + 15x
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
20 +4h = 14h
A dealer sells a car with a $500 down payment and payments of $250 per month. Another car dealer sells the same car with no down payment and monthly payments of $300 per month. After how many months will the buyers have paid the same amount
500 + 250x = 300x
Sandy is upgrading her Internet service. Fast Internet charges $60 for installation and $50.45 per month. Quick Internet has free installation but charges $57.95 per month. After how many moths will they cost the same?
60 + 50.45x = 57.95x
Margo can purchase tile at a store for $0.79 per tile and rent a saw for $24. At another store she can rent a saw for $20 if she buys tiles there for $1.19 per tile. How many tiles must she buy for the cost to be the same?
0.79t + 24 = 1.19t +20
Members of the Wide Waters Club pay $105 per summer season, plus $9.50 each time they rent a boat. Nonmembers must pay $14.75 each time they rent a boat. How many times would a member and a non-member have to rent a boat to pay the same?
105 + 9.50x = 14.75x
Marsha is changing her phone service. One data plan charges an initial fee of $50 and $13.25 per month. The other charges an initial fee of $20, and $25.75 per month. After how many months would Marsha have paid the same amount?
50 + 13.25m = 20 + 25.75m
Mark paid $8.35 per pound for fish at one market. Then he found another market that charges a member’s fee of $36.90 a year plus $4.25 per pound for fish. How many pounds of fish would Mark need to buy for the total cost to be the same?
8.35x = 4.25x + 36.90
Sandbox A has 3.25 lbs of sand. Kim is filling the sandbox with a bucket that holds 5.25 lbs of sand. Sandbox B has 10.25 lbs of sand. Jim is filling it with a bucket that holds 1.75 lbs of sand. How many buckets will make them equal?
5.25x + 3.25 = 1.75x + 10.25
Sandbox A has 3.25 lbs of sand. Kim is filling the sandbox with a bucket that holds 5.25 lbs of sand. Sandbox B has 10.25 lbs of sand. Jim is emptying it with a bucket that holds 1.75 lbs of sand. How many buckets will make them equal?
5.25x + 3.25 = 1.75x - 10.25
Mike weighs 200 pounds and loses 1.5 pounds a week. Jeff weighs 180 pounds and gains 0.5 pound a week. When will Mike weigh less than Jeff?
200 - 1.5p = 180 + 0.5p
