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?

1 Answer
Nov 3, 2015

Answer:

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#