Question
delivery truck is transporting a box of two sizes large and small the large boxes weigh 50 pounds each and a small box is weigh 15 pound each There are 120 boxes in all If the truck is carrying a total of 3725 pounds in boxes how many boxes of each type of box is it carrying?
Answers
a of large and b of small
50 a + 15 b = 3725
a + b = 120
multiply second equation by 15 for example
50 a + 15 b = 3725
15 a + 15 b = 1800
--------------------------- subtract
35 a + 0 = 1925
a = 55
go back and get b
50 a + 15 b = 3725
a + b = 120
multiply second equation by 15 for example
50 a + 15 b = 3725
15 a + 15 b = 1800
--------------------------- subtract
35 a + 0 = 1925
a = 55
go back and get b
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