Question

3 Cheyenne bought two milk shakes, two order of fries,
and two chili cheese dogs at the concession stand.
Her total was $18.14.
A milkshake cost $3.59.
An order of fries cost $2.79.
Which equation correctly represents the situation? What does the variable, x, represent?
a) 3.59+2.79+2x=18.14; x represents the cost of one chili cheese dog
b) 2(3.59+2.79+x)=18.14; x represents the cost of one chili cheese dog
c) 2⋅3.59+2.79+x=18.14; x represents the cost of one order of fries
d) (3.59+2.79+x)/2=18.14

Answer 1

To represent the situation correctly, we need to account for the total cost of the items purchased by Cheyenne.

Let:
- \( x \) be the cost of one chili cheese dog.

Cheyenne bought:
- 2 milkshakes at \( 3.59 \) each,
- 2 orders of fries at \( 2.79 \) each,
- 2 chili cheese dogs at \( x \) each.

The total cost can be represented as:

\[
2(3.59) + 2(2.79) + 2x = 18.14
\]

or simplified further:

\[
2(3.59 + 2.79 + x) = 18.14
\]

The correct choice from the given options is:

**b) 2(3.59 + 2.79 + x) = 18.14; x represents the cost of one chili cheese dog**

So the correct equation is b), and \( x \) represents the cost of one chili cheese dog.