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

$4.30
4 point 3 0 dollars

$3.53
3 point 5 3 dollars

$2.00

Answer 1

Let's define the variables:

• Let \( b \) = cost of one burger
• Let \( f \) = cost of one order of fries

From the problem, we have the following two equations:

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

Now, we can solve these equations step by step.

Step 1: Solve Equation 1 for \( f \)

From Equation 1: \[ f = 6.30 - b \]

Step 2: Substitute \( f \) into Equation 2

Now we substitute \( f \) in Equation 2: \[ 2b + (6.30 - b) = 10.60 \]

This simplifies to: \[ 2b + 6.30 - b = 10.60 \]

Combining like terms: \[ b + 6.30 = 10.60 \]

Step 3: Solve for \( b \)

Subtract 6.30 from both sides: \[ b = 10.60 - 6.30 \] \[ b = 4.30 \]

Step 4: Substitute \( b \) back to find \( f \)

Now, substitute \( b = 4.30 \) back into Equation 1 to find \( f \): \[ f = 6.30 - 4.30 \] \[ f = 2.00 \]

Therefore, the cost of one order of fries alone is $2.00.