Question

A Fun Park refreshment stand sells only hotdogs and nachos. Hotdogs cost $2 and nachos

cost $3. Marcus and his friends spent $34 at the refreshment stand. All together, they
ordered a total of 14 items. How many hotdogs and how many nachos did they buy?
Write a system of two linear equations in two variables that can be used to model the
situation. Then choose a method to solve the system. Show your work and check your
answer.

Answer 1

Explanation:

h+n=14, n=14-h

2h+3n=34, using n=14-h

2h+3(14-h)=34

2h+42-3h=34

-h+42=34

-h=-8

h=8, and since n=14-h

n=14-8=6 so

They bought 8 hotdogs and 6 nachos.