Piper and Skylar go to the movie theater and purchase refreshments for their friends. Piper spends a total of $55.50 on 6 bags o
f popcorn and 2 drinks. Skylar spends a total of $86.00 on 8 bags of popcorn and 4 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.
1 answer:
Answer:
The price of a drink is $9.00
Step-by-step explanation:
Let
x ----> the price of one bag of popcorn
y ----> the price of one drink
we know that
Piper spends a total of $55.50 on 6 bags of popcorn and 2 drinks
so
----> equation A
Skylar spends a total of $86.00 on 8 bags of popcorn and 4 drinks
so
----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both lines
using a graphing tool
The solution is the point (6.25,9)
see the attached figure
therefore
The price of a drink is $9.00
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