Question

A children's birthday party at a indoor play center cost $50 to rent the space and 6.25 per child. Gina wants to spend no more than $100 on her son's fourth birthday party, Wight in inequality for the number of children who can attend the birthday party

Answer 1

The number of children (n) that can attend the birthday party can be expressed as;

n≤8

Explanation:

Step 1

We can use the expression below to calculate the total cost of the party as shown;

C≥F+(V×n)

where;

C=total cost of Gina is willing to spend

F=fixed cost for the rent

V=cost per child

n=number of children at the party

In our case;

C=$100

F=$50

V=$6.25

n=n

replacing;

100≥50+(6.25×n)

6.25 n+50≤100

6.25 n≤100-50

6.25 n≤50

n≤50/6.25

n≤8

The number of children (n) that can attend the birthday party can be expressed as;

n≤8