Question

100 points

Aaron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries. His total cost is $10.50. The next week, he goes with two other friends. They order four hamburgers and three French fries. This time the total is $19.50. Choose two equations that could be used to determine the cost of hamburgers (h) and French fries (f).

Answer 1

Each french fry costs $1.5 and hamburger $3.75

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• two hamburgers + two French fries = $10.50 ____ equation 1

• four hamburgers + three French fries = $19.50 _____equation 2

Consider hambugers as "h" and fench fries as "f"

• 2h + 2f = 10.5 ___ equation 1

• 4h + 3f = 19.5 ___ equation 2

We can solve them to find the cost of each hambuger and fench fry

Solve for f :

• (10.5 - 2f)/2 = (19.5 -3f)/4

• 42 - 8f = 39 -6f

• -6f + 8f = 42 - 39

• 2f = 3

• f = 1.5

Solve for h :

• h = (10.5 - 2f)/2

• h = (10.5 - 2(1.5))/2

• h = 3.75