Solving Equations with variables on both sides for both sides
2x + 5 = 7x - 10
x=3
Brianne and Zoey are going to the store to buy some school supplies. Brianne buys 5 notebooks and $6.50 worth of pens. Zoey buys 8 notebooks and she is using a coupon for $2.50 off the total cost. If they spend the same amount of money, which equation represents this situation?
-f+2+4f=8-3f
f=1
Pedro is shopping for shirts for the soccer team. One store charges $12.50 per shirt, plus a set-up fee of $16. Another store charges $14 per shirt and has no set-up fee. Pedro has a coupon for $5 off the total cost at the second store. Which equation represents the number of shirts Pedro has to buy to make the costs the same?
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4b+5=1+5b
b=4
Yolanda and Holly are buying tickets for the school play. Adult tickets cost $3 more than student tickets. Yolanda buys 7 student tickets and 6 adult tickets. Holly buys 15 student tickets and 1 adult ticket. Write an equation that models this situation if they both spend the same amount of money on their tickets.
4d-4=5d-8
d=4
The temperature in Minneapolis is 19 degrees and is decreasing at 4 degrees per hour. The temperature in Chicago is -7 degrees and is increasing at a rate of 2.5 degrees per hour. Which equation represents when the temperatures will be the same in the two cities?
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5-2(3-x)=4x+10
x=-11/2
The Dallas County Fair costs $15.00 to get in plus $2.50 per ride. The Collin County Fair costs $10.00 to get in and $3.00 per ride. Which equation represents when the costs will be the same?
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