Question

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)
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 \( \boxed{2.00} \).