Question

Papa's Pizza offers a party $4 per child with a $40 fee for the cake and playground supervisor. How do you write and solve an inequality that shows the number of children who can attend on a $76 budget?

Answer 1

The maximum number of children, for which the cost is `$76` is `9`

Explanation:

Let's look how much does the party cost for some numbers of children:

1. For 1 child the price would be `40+4=44`
2. For 2 children `40+8=48`
3. For `n` children `40+4n`

The formula in point 3. is a general formula to calculate cost of the party for `n` children, so we can use it in our task.

We have to calculate how many children can take part in a party for $76. So we have to solve inequality:

`40+4n<=76`

`4n<=76-40`

`4n<=36`

`n<=9`