A booster club paid for pizzas for an end of season party. They paid $13 for each pepperoni pizza and $11 for each plain pizza. The club bought a total of 18 pizzas for the party and paid a total of $212.
Question
A booster club paid for pizzas for an end of season party. They paid 11 for each plain pizza. The club bought a total of 18 pizzas for the party and paid a total of $212.
Solution
Let's denote the number of pepperoni pizzas as and the number of plain pizzas as .
We have two pieces of information:
- The total number of pizzas is 18.
- The total cost of the pizzas is $212.
We can set up the following system of equations based on this information:
First, solve the first equation for :
Next, substitute in the second equation:
Simplify and solve for :
Now, substitute back into the equation :
So, the booster club bought 7 pepperoni pizzas and 11 plain pizzas.
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