Solve question 10 using substitution or elimination. Show all work.
1 answer:
Solid paper costs 1.75 each Printed paper costs 2.50 each Given: Ben = $43.50 (12 rolls solid paper and 9 rolls of printed paper) Joel = $51.50 (8 rolls solid paper and 15 rolls of printed paper) Let x = solid paper Let y= printed paper 12x + 9y = 43.50 8x + 15y = 51.50 Find X: 8x + 15y = 51.50 8x = 51.50 - 15y x= (51.50 - 15y)8 Substitute X: 12x + 9y = 43.50 12(51.50 - 15y)/8 + 9y = 43.50 (618 - 180y)/8 + 9y = 43.50 8 (618 - 180y)/8 + 8*9y = 43.50 * 8 618-180y + 72y =348 -108y = 348 - 618 -108y =-270 -108y/-108=-270/-108 Y= 2.50 x = (51.50 - 15y)/8 x = (51.50 - 15(2.5) /8 x= (51.50 - 37.50\8 X = 14/8 X = 1.75 To check: x = 1.75; y = 2.5 12x + 9y = 43.50 12(1.75) + 9(2.5) = 43.50 21 + 22.50 = 43.50 43.50 = 43.50 8x + 15y = 51.50 8(1.75) + 15(2.5) = 51.50 14 + 37.50 = 51.50 51.50 = 51.50 Hope that helps! Have a good day :)
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