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

To find the cost of one hamburger, set up a system of equations and solve it.

Step-by-step explanation:

To find the cost of one hamburger, we need to set up a system of equations based on the given information. Let's assume that the cost of one hamburger is 'x' dollars. From the first scenario, we can set up the equation: x + 5(0.50) = 8.74. Simplifying this equation gives us the value of x. From the second scenario, we can set up the equation: 2x + 3(0.50) = 7.75. Solving this equation will verify the value of x obtained from the first equation.

By solving the system of equations, we find that the cost of one hamburger is $3.24.

Answer 2

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 =
`(-16.53)/(-7)`

⇔x = 2.36

Therefore the cost of one hamburger is $ 2.36.