Question

Question #79502

Answer 1

Adults pay `$25` and children pay `$6`

Explanation:

The question is easier than it appears at first.
Break down what you know...

We have only been told the cost of an adult and a child together, but nothing about the cost of a single adult or child.

Of the `150` adults and `225` children we can consider that there are `150` pairs of an adult and child.

There are therefore `75` children more than adults.

The `150` pairs together would have paid: `150 xx $31 = $4650`

The remaining amount of the entry fees is `$5100 -$4650 =$450`

This is entry fees paid by the `75` children.

`$450 div 75 = $6`

This means a child will pay `$6` and an adult `$25`
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This could also have been solved by choosing variables to represent the cost of an adult and a child and forming two equations.

`150x + 225y = 5100 " and " x+y =31`.

Solving these will lead to the same result