A fruit company delivers its fruit in two types of boxes : large and small. A delivery of 6 large boxes and 5 small boxes has a total weight of 190 kilograms. A delivery of 2 large boxes and 3 small boxes has a total of 84 kilograms. How much does each type of boxes weigh?

Question

Mathematics

Kylie Pitts

28 May, 02:24

A fruit company delivers its fruit in two types of boxes : large and small. A delivery of 6 large boxes and 5 small boxes has a total weight of 190 kilograms. A delivery of 2 large boxes and 3 small boxes has a total of 84 kilograms. How much does each type of boxes weigh?

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Answers (1)

Know the Answer?

Desirae Charles · Answer 1

4 large and 8 small weigh 113kg

so

2 large and 4 small weigh 56.5 kg

but

2 large and 3 small weigh 50 kg

so taking the difference

1 small weighs 56.5 - 50 = 6.5 kg.

Substitute:

2 large and 3 small weight 50 kg

2 large weigh 50 - 3*6.5 = 50 - 19.5 = 30.5 kg

1 large weighs 15.25 kg