SOLUTION: i need help understanding this problem Write a system that models the situation below. Include your variable definitions. Alex purchased 2 hotdogs and 4 popcorn balls for

Algebra ->  Graphs -> SOLUTION: i need help understanding this problem Write a system that models the situation below. Include your variable definitions. Alex purchased 2 hotdogs and 4 popcorn balls for       Log On


   

Question 889478: i need help understanding this problem

Write a system that models the situation below. Include your variable definitions.
Alex purchased 2 hotdogs and 4 popcorn balls for a total cost of $14.00. Marion purchased 4 hotdogs and 7 popcorn balls for a total $26.00.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The prices are unknown.
Let x = hotdog price
Let y = popcorn ball price

2x+4y=14 and 4x+7y=26 , two equations accounting for the cost of the individuals' purchases.

The first one simplifies to x+2y=7.

The system which models these two purchases can be shown as

system%28x%2B2y=7%2C%0D%0A4x%2B7y=26%29