# The weight of two identical suitcases is equal to the weight of two identical backpacks and a bag

**The weight of two identical suitcases is equal to the weight of two identical backpacks and a bag. find out the weight of the suitcase if the weight of the backpack is 8 kg, and the weight of the bag is 4 kg.**

The weight of two identical suitcases is equal to the weight of two identical backpacks and a bag. find out the weight of the suitcase if the weight of the backpack is 8 kg, and the weight of the bag is 4 kg.

2 identical suitcases = 2 identical backpacks + bag

backpack weight = 8 kg

bag weight = 4 kg

let x be the mass of the suitcase, then

substitute the known expressions into the equation 2 identical suitcases = 2 identical backpacks + bag

2 * x = 2 * 8 + 4

we transfer the known ones to one side, and the unknowns to the other side, when transferring values, the signs change to the opposite, then we get

2 * x = 16 + 4

2 * x = 20

x = 20/2

x = 10

weight of the suitcase