Question

Yesterday, a movie theater sold 299 bags of popcorn. A large bag of popcorn costs $4. A small bag of popcorn costs $1. In all, the movie theater made $662 from popcorn sales. Write and solve a system of equations to find how many bags of each size of popcorn were sold.

Answer 1

l + s = 299

4l + s = $662

121 large bags were sold.

178 small bags were sold.

Explanation:

Quantity equation: l + s = 299. l is the amount of large bags and s is the amount of small.

Price equation: 4l + s = $662. This means each large bag earns 4 dollars and each small bag earns 1.

To solve this, you use the method elimination and subtract (l + s = 299) from 4l + s = 662.

So, after subtracting, the equation you are left with is 3l = 363. Divide both sides by 3 and you get l = 121. 121 large bags were sold.

Plug in 121 for l in the first equation, now it says 121 + s = 299. Subtract 121 from 299 and get 178. 178 small bags were sold.

Answer 2

Explanation:

They sold 201 small bags

and they sold 83 large bags

hope this helps :)