Inequalities

Question

Papa's Pizza offers a party at $5.55 per child with a $40 fee for the cake and playground supervisor. Write an inequality that shows the number of children n who can attend on a $115 budget. (Assume n ≥ 0.)

Answer 1

5.55n+40=115

 

This would work because you would take 5.55 times the amount of children, add in the 40 and should end up with 115. To solve this equation as it stands, subtract 40 from both sides to end up with this: 5.55n=75. Then divide 5.55 on both sides and end up with n=13.5. However, since you can't have half a child show up to the party, the limit would be set at 13 children without going over the budget.