The cost of one burger and one order of fries together is $6.30. The cost of two burgers and one order of fries is $10.60. What is the cost of one order of fries alone?(1 point)

Question

Responses

$2.15
2 point 1 5 dollars

$2.00
2 point 0 0 dollars

$3.53
3 point 5 3 dollars

$4.30

Answer 1

Let's define the variables:

• Let \( b \) be the cost of one burger.
• Let \( f \) be the cost of one order of fries.

From the problem statement, we have the following equations:

1. \( b + f = 6.30 \) (Equation 1)
2. \( 2b + f = 10.60 \) (Equation 2)

Now, we'll solve these equations.

From Equation 1, we can express \( f \) in terms of \( b \):

\[ f = 6.30 - b \]

Now substituting this expression for \( f \) into Equation 2:

\[ 2b + (6.30 - b) = 10.60 \]

Simplifying this:

\[ 2b + 6.30 - b = 10.60 \] \[ b + 6.30 = 10.60 \] \[ b = 10.60 - 6.30 \] \[ b = 4.30 \]

Now that we have the cost of one burger, we can find the cost of one order of fries using Equation 1:

\[ f = 6.30 - b = 6.30 - 4.30 = 2.00 \]

So, the cost of one order of fries alone is \( \boxed{2.00} \).