Question

Kyle and Myles wanted to buy the soccer team food after the game.

Kyle bought 5 hotdogs and 3 French fries, which costs him $14.50. Myles bought 4 hotdogs and 2 French fries, which totaled as $11.00. How much does 1 hotdog cost?
Walkthrough your answer by showing your work

Answer 1

Set up 2 equations:

Kyle: 5h + 3f = 14.50

Myles: 4h + 2f = 11.00

Lets get the two h's to cancel out.

Multiply Kyle by 4 and Myles by -5:

Kyle: 20h + 12f = 58

Myles: -20h - 10f = -55

Now add the two equations together:

2f = 3

Divide both sides by 2:

f = 3/2

f = 1.50

1 french fry cost $1.50

Now solve for the price of a hot dog:

5h + 3(1.50) = 14.50

5h + 4.50 = 14.50

Subtract 4.50 from both sides:

5h = 10.00

Divide both sides by 5:

h = 2

One hot dog cost $2.00