Question

Solution:
3. At the fast food restaurant, one hamburger and five small fries cost $8.74. If two hamburgers and
three small fries cost $7.75, what is the cost of one hamburger?

Answer 1

Therefore the cost of one hamburger is $ 2.36.

Step-by-step explanation:

Given , at a fast food restaurant , one hamburger and 5 small fries cost $ 8.74 . two hamburgers and three small fries cost $7.75.

Let , the cost of one hamburger is = x

and the cost one small fries is = y

According to the problem,

        x+5y = 8.74..........(1)

and  2x+3y = 7.75.........(2)

equation (1) × 3 - equation (2)×5

(3x+15y) - (10x+15y) =26.22 -38.75

⇔3x +15y -10x-15y =-16.53

⇔-7x = -16.53

⇔x =$\frac{-16.53}{-7}$

⇔x = 2.36

Therefore the cost of one hamburger is $ 2.36.