At a certain food truck, hot dogs cost $3 and burgers cost $5 . A customer ordered 7 items and spent $27 .

Question

 1) If x is the number of burgers the customer bought and y is the number of hot dogs, write a system of equations that models the problem and graph it.

2) How many of each item were purchased?

Answer 1

5x + 3y = 27

x + y = 7

You can solve this easily by substitution. Get y=7-x from the second equation, substitute 7-x for y in the first equation, and then solve the first equation for x. Substitute the result for x into either equation and solve for y.