# 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

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