Question

a toy store worker packed two boxes of identical dolls and plush toys for shipping in boxes that weigh 1 oz when empty. one box held 3 dolls and 4 plush toys. The worker marked the weight as 12 oz. the other box held 2 dolls and 3 plush toys. The worker marked the weight as 10 oz. Explain why the worker must have made a mistake.

Answer 1

The worker made a mistake because the systems of equation will lead to negative answer

Let x be the mass of the doll

Y mass plush toys

3x + 4y = 12 – 1 = 11

2x + 3y = 10 -1 = 9

X = -3

Y = 5

Since there is negative then it is wrong