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

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) (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

RELATED QUESTIONS
a basketball team scored 5 runs in a game which was four more than 1/2 the runs scored by (answered by greenestamps)

I need to identify the variable and write an equation that describes the situation below. (answered by stanbon)

1. The number of workshop elves varies inversely with the number of toys produced.... (answered by Theo)

The attendance at a rock concert is 6700 people. The tickets for this concert cost $40... (answered by rfer)

I have one word problem? My answer was wrong... Write an inequality that models the... (answered by ewatrrr)

Solve problem 68 on page 539 of Elementary and Intermediate Algebra, and make sure to (answered by amymom1973)

Please help me solve this word problem: You can spend at most $21 on fruit. Blueberries (answered by Theo)

I am struggle with this math problem: Consider the data sets and decide whether the... (answered by vleith)

Hi, I am trying to help my son with this applied math 10 problem and I need some help. (answered by richwmiller)