Question

The concession stand sells pizza slices and nachos during football games. Pizza slices cost $0.55 and nachos cost $0.75. James bought 10 items for $6.30 (he was given a box to carry them all in). How many slices of pizza did he buy? How many orders of nachos did he buy? Slices of Pizza: Orders of Nachos:

Answer 1

We will determine the number of pizza slices and nachos he bought as follows:

$p+n=10$

Here, p represents pizza slices and n nachos.

and:

$0.55p+0.75n=3.60$

***

We solve the first function for either p or n:

$\Rightarrow p=10-n$

And using this, we replace in the second function:

$\Rightarrow0.55(10-n)+0.75n=6.30$

Now, we determine the value of n:

$\Rightarrow5.5-0.55n+0.75n=6.30\Rightarrow0.2n=0.8\Rightarrow n=4$

Now, we replace the value of n in the first equation and determine the value of p:

$\Rightarrow p+4=10\Rightarrow p=6$

So, he bought 6 slices of pizza and 4 units of nachos.