Question

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 8 small boxes has a total weight of 106 kilograms. A delivery of 5 large boxes and 2 small boxes has a total weight of 103 kilograms. How much does each type of box weigh? Weightofeachlargebox:kilogram(s) Weightofeachsmallbox:kilogram(s)

Answer 1

The Large Box Weighs 18 kg, and the small box weighs 6.5 kg

Explanation:

Let a= the weight in kg of a large box

Let b= the weight in kg of a small box

Multiply both sides of (1) by 4 and subtract (2) from (1)

1. 20a+8b=412

2. -3a-8b= -106

17a=306

a=18

and

5*8+2b=103

90+2b=103

2b=13

b=6.5