SOLUTION: Method of Substitution 10. Charlene makes two types of guilts. For the first type, she charges $25 for material and $50/h for hand quilting. For the second type, she charges $100

Question 181736: Method of Substitution
10. Charlene makes two types of guilts. For the first type, she charges $25 for material and $50/h for hand quilting. For the second type, she charges $100 for material and $20/h for machine quilting. For what number of hours are tthe costs the same?
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Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
10. Charlene makes two types of quilts. For the first type, she charges $25 for
material and $50/h for hand quilting. For the second type, she charges $100 for
material and $20/h for machine quilting. For what number of hours are the costs the same?
:
Let h = no. of hrs
:
Cost1 = 50h + 25; for quilt 1
Cost2 = 20h + 100; for quilt 2
;
Cost 1 = Cost 2
50h + 25 = 20h + 100
50h - 20h = 100 - 25
30h = 75
h =
h = 2.5 hrs the cost are the same
:
:
Check this:
50(2.5) + 25 = 150
20(2.5) + 100 = 150
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