Question

Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weight 4kg. The total weight of Carl’s baggage is 35kg.

Write an equation to determine the weight, w, of each of Carl’s checked bags.

Answer 1

Answer: 2x + y = 35kg or 2x + 4kg = 35kg

Explanation:

The checked bags = 2 x

A backpack = y = 1* 4kg

2 x + y = 35 kg

2 x + 4Kg = 35kg

2 x = 31 kg

x = 31 kg / 2

x= 15.5Kg

Answer 2

35 = 4 + 2b

2b = 35 - 4

b = backpack

35 - 4 = 31

2b = 31

Divide by 2

15.5 = b

Each bag weighs 15.5kg.

15.5 * 2 + 4 = 35

31 + 4 = 35

35 = 35