# 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?

The maximum number of children, for which the cost is

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

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

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Let ( x ) represent the number of children attending the party.

The total cost for the party, including the cake and playground supervisor, is ( 40 + 4x ).

To ensure that the total cost does not exceed $76, we can write the following inequality:

[ 40 + 4x \leq 76 ]

Solving for ( x ):

[ 4x \leq 76 - 40 ] [ 4x \leq 36 ] [ x \leq \frac{36}{4} ] [ x \leq 9 ]

Therefore, the number of children who can attend the party on a $76 budget is 9 or fewer.

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