Answer:
Small popcorns: 68
Medium popcorns:: 46
Large popcorns: 136
Step-by-step explanation:
<h3>The complete exercise is: "Suppose the movie theater you work at sells popcorn in three different sizes. A small costs $2, a medium costs $5, and a large costs $10. On your shift, you sold 250 total containers of popcorn and brought in $1726. You sold twice as many large containers as small ones. How many of each popcorn size did you sell?" </h3><h3 />Let be "s" the number of small popcorns you sold, "m" the number of medium popcorns syou sold and "l" the number of large popcorns you sold.
Set up a system of equations:
To solve it:
- Multiply the first equation by -5 and add it to the second equation:
- Substitute the third equation into and solve for "s":
- Substitute this value into the third equation of the system to find "l":
- Substitute the known values into the first equation of the system and solve for "m" in order to find its value: