Question

A 7th grade class is going on a class trip to an amusement park. The total cost for each student is $49. Included in that price is 7 admission fee to the park and 3 Ferris wheel passes.Which equation is set up and solved correctly to determine the cost of 1 Ferris wheel pass (f)?

A. 49=7+3f
42=3f
14=f

B. 49=7+3f
42=3f
126=f

C. 49=7+f/3
42=f/3
126=f

D. 49=7+f/3
42=f/3
14=f

Answer 1

To determine the cost of one Ferris wheel pass (f), we start by interpreting the problem correctly.

Given:
- The total cost for each student is $49.
- This includes a $7 admission fee to the amusement park and the cost of 3 Ferris wheel passes.

The equation to represent this situation would be:

\[ 49 = 7 + 3f \]

Where:
- 49 is the total cost.
- 7 is the admission fee.
- 3f represents the total cost of 3 Ferris wheel passes.

Now let's solve the equation step-by-step:

1. Subtract the admission fee from both sides:
\[ 49 - 7 = 3f \]
\[ 42 = 3f \]

2. Now, divide both sides by 3 to find the cost of one Ferris wheel pass:
\[ f = \frac{42}{3} \]
\[ f = 14 \]

Now we compare this to the options provided:

A.
- \( 49 = 7 + 3f \)
- \( 42 = 3f \)
- \( 14 = f \) (This is correct.)

B.
- \( 49 = 7 + 3f \)
- \( 42 = 3f \)
- \( 126 = f \) (Incorrect.)

C.
- \( 49 = 7 + f/3 \)
- \( 42 = f/3 \)
- \( 126 = f \) (Incorrect.)

D.
- \( 49 = 7 + f/3 \)
- \( 42 = f/3 \)
- \( 14 = f \) (Incorrect.)

The correct selection is **A**:

- \( 49 = 7 + 3f \)
- \( 42 = 3f \)
- \( 14 = f \)