Question

Help me solve this problem

Answer 1

The weight of the larger box = 15.75 kg.

The weight of the smaller box = 13.75 kg.

Explanation:

We have the two equations based on the scenario.

The equations are:

`$ 7x + 9y = 234 \hspace{20mm} \hdots {(1)} $`

`$ 5x + 3y = 360 \hspace{20mm} \hdots {(2)} $`

'x' represents the weight of the larger box.

and 'y' the weight of the smaller box.

Multiplying Equation (2) by 3 throughout, we get:

`$ 15x + 9y = 360 $`

Subtracting this and Equation (1), we get:

`$ -8x = -126 $`

`$ \implies x = 15.75 $` kg.

∴ The weight of the Larger box is 15.75 kg.

Substituting the value of 'x' in either of the equations will give us the value of 'y', the weight of the smaller box.

We substitute in Equation (1).

We get: 9y = 234 - 7(15.75)

⇒ 9y = 123.75

⇒ y = 13.75

∴ The weight of the smaller box is 13.75 kg.