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Write the Equation
Story Problems
100
2x + 9 = 3x - 9
18
100
3.2 + 0.3x = 0.2x + 1.4
-18
100
(6/5)y + 8 = (4/5)y - 10
-45
100
Jonah wants to buy packages of blank DVDs. At OfficePro, the packages cost $5 each, and Jonah has a coupon for $8 off the total purchase price. At Best Deal, the packages cost $4 each. Write an equation to find the number of packages for which the total cost is the same at both stores. 
5x - 8 = 4x
100
One hot air balloon is 15 meters about the ground, and is rising at a rate of 20 meters per minute. A second balloon is 195 meters above the ground, and is descending at a rate of 16 meters per minutes. In how many minutes will the two balloons be at the same height? 
5 minutes
200
6x + 4 = 3x + 10
2
200
0.4x = 2x + 1.2
-0.75
200
(1/2)p - 15 = (3/4)p - 3
-48
200
Bob's Bike Rentals charges an initial fee of $6 to rent a bike, plus $5 an hour. Boardwalk Bikes charges an $8 initial fee, plus $4 and hour. Write an equation to find the number of hours for which the total cost of the bike rental is the same at both rental agencies. 
6 + 5x = 8 + 4x
200
Cindy is saving for a trip to Hawaii. Each week, she puts aside the same amount of money for her airfare. After 9 weeks of saving, she need $390 more of her airfare. After 14 weeks, Cindy still needs $240. How much is the airfare to Hawaii? How much does Cindy put aside each week for her airfare? 
$660; $30
300
3x - 20 = 5x + 12
-16
300
3 - 3.7y = 10.3y + 10
-0.5
300
(-1/4)x + 6 = (2/3)x + 28
-24
300
Caylee is comparing Web sites for downloading music. One charges a $5 membership fee plus $0.50 per song. Another charges $1.00 per song but has no membership fee. Write an equation to find how many songs Caylee would have to buy to spend the same amount on both websites. 
5 + 0.5s = s
300
The area of a tennis court is 2808 square feet, or 8 square feet more than 3.5 times the size of the area of a racquetball court. What is the area of the racquetball court? 
800 ft^2
400
2x - 6 = 5x - 6
0
400
5.3x + 2 -4.1x = 3.6x - 1.6
1.5
400
(1/8)m + (2/5) + (1/2)m = (3/8)m + (3/4)m 
(4/5)
400
One cell phone company charges $19.95 a month and a $2.15 tax plus $0.21 per text message. A second company charges $24.95 per month plus $0.16 per text message. Write an equation to find how many text messages is the cost of the plans the same?
19.95 + 2.15 + 0.21x = 24.95 + 0.16x 
400
One cellular phone carrier charges $26.50 a month plus $0.15 a minute for local calls. Another carrier charges $14.50 a month and $0.25 a minute for local calls. For how many minutes is the cost of the plans the same?
120 minutes
500
60 + 25x = 450 + 10x
26
500
-2.2 + 0.3z = 3 - 0.5z - 0.8z
3.25
500
(-1/3)x + (5/6)x + 2 = (-1/2) + (1/6)x
-15/2 or -7 1/2
500
Red Bird Cruises charges $85 per day plus a one-time fee of $75. King Cruises charges $100 per day plus a fee of $30. Write an equation to determine for what number of days the charge for cruises will be the same. 
75 + 85d = 30 + 100d
500
Landon is comparing the cost of two courier services that deliver packages in his area. FedEx costs $4 plus a fee of $5 per mile. UPS cost $12 plus a fee of $3 per mile. At how many miles will the cost be the same? 
4 miles
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