College Algebra

Question

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of

3

large boxes and

2

small boxes has a total weight of

53

kilograms. A delivery of

8

large boxes and

4

small boxes has a total weight of

133

kilograms. How much does each type of box weigh?

Answer 1

3 L + 2s = 53

8 L + 4s = 133

bottom equation - 2 * top equation :

2 L = 133 - 106

2L = 27

L = 27/2

8 (27/2) + 4S = 133

108 + 4s = 133

4s = 25

s = 25/4

check

3(27/2) + 2(25/4) = 81/2 + 25/2 = 106/2 = 53

8(27/2) + 4(25/4) = 108 + 25 = 133

large box weighs 27/2 = 13 1/2 kg

small box weighs 25/4 = 6 1/4 kg