Chapter 2.2, Problem 16P

Define a variable and write an equation for each situation. Then solve.

A pizza shop charges $9 for a large cheese pizza. Additional toppings cost $1.25 per topping. Heather paid $15.25 for her large pizza. How many toppings did she order?

To determine

To find:The number of toppings Heather ordered.

Answer to Problem 16P

Heather ordered 5 toppings.

Explanation of Solution

Given information:A pizza shop charges $\$9$ for a large cheese pizza. Additional toppings cost $\$1.25$ per topping. Heather paid $\$15.25$ for her large pizza.

Calculation:Let Heather ordered x toppings.

1 topping costs $=\$1.25$

Then, x toppings cost $=\$1.25x$

Total cost of one large pizza with x toppings $=\$(9+1.25x)$

According to the problem,

  $\begin{array}{l}9+1.25x=15.25\\ \Rightarrow 1.25x=15.25-9\\ \Rightarrow 1.25x=6.25\\ \Rightarrow x=\frac{6.25}{1.25}\\ \Rightarrow x=5\end{array}$

Thus, Heather ordered 5 toppings.