A fruit company delivers it’s fruit and two types of boxes large and small delivery of five large boxes and six more boxes has a total weight of 175 kg a delivery of three large boxes and two small boxes has a total weight of 83 kg how much does each type of box weigh ?

Answer 1

large boxes --- x
small boxes --- y

5x+6y = 175
3x+2y = 83
multiply the 2nd by 3 and subtract it from 1st

5x + 6y = 175
9x + 6y = 249
4x = 74
x = 18.5
then in 3x+2y = 83
3(18.5) + 2y = 83
y = 13.75

state your conclusion