Question

Suppose the movie theater you work at sells popcorn I'm three different sizes. A small cost $2, a medium cost $5, and a large cost $10. On your shift, you sold 250 containers of popcorn and brought in $1726. You sold twice as many large containers as small ones. a. How many of each popcorn size did you sell? B. How much money did you bring in from selling small size containers?

Answer 1

Let, number of small, medium and large popcorn sold are s, m and l respectively.

So, s + m + l = 250    ....1)

Also, l = 2s     ....2)

Total sum = $1726 = 2s + 5m + 10l     .....3)

Putting value of l from 2) to 1) is :

s + m + 2s = 250

m + 3s = 250    

m = 250 - 3s      ....4)

Putting value of m and l in terms of s in equation 3)

We get :

2s + 5( 250 - 3s ) + 20s = 1726

7s = 1726 - 1250

s = 68

l = 136

m = 250 -3(68) = 46

Now,

$P_s=68\times 2 = \ 136\\\\P_m = 46\times 5 = \ 230\\\\P_l = 136\times 10 = \ 1360$

Hence, this is the required solution.