
Mark M. answered 08/27/15
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Mathematics Teacher - NCLB Highly Qualified
For shop A: cost is 5 + 2.5h, where h is the number of hours
For shop B: cost is 8 + 2h, where h is the number of hours
5 + 2.5h = 8 + 2h subtract 5 from both sides
2.5h = 3 + 2h subtract 2h from both sides
0.5h = 3 multiply both sides by 2
h = 6
The cost is the same for 6 hours.
Check:
5 + 2.5(6) = 8 + 2(6)
5 + 15 = 8 + 12
20 = 20