Question

Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?

Select the two statements that are true.

(2 points)
Responses

Sam ran further than Dean.
Sam ran further than Dean.

The boys ran the same distance.
The boys ran the same distance.

The correct equation is s−2.3=6.8
The correct equation is s minus 2 point 3 is equal to 6 point 8

The correct equation is 2.3s=6.8
The correct equation is 2 point 3 s is equal to 6 point 8

The correct equation is s+2.3=6.8
The correct equation is s plus 2 point 3 is equal to 6 point 8

Dean ran further than Sam.

Answer 1

To determine how far Sam ran, we can analyze the information given:

1. Dean ran 2.3 fewer kilometers than Sam.
2. Dean ran 6.8 km.

Let’s denote the distance Sam ran as \( s \). According to the problem, we can set up the following equation:

\[ s - 2.3 = 6.8 \]

Now let's solve for \( s \):

\[ s = 6.8 + 2.3 \]
\[ s = 9.1 \]

So, Sam ran 9.1 km.

Now, let's evaluate the provided statements:

1. **Sam ran further than Dean.** - **True** (Sam ran 9.1 km, which is more than Dean's 6.8 km.)
2. **The boys ran the same distance.** - **False** (Sam ran 9.1 km, and Dean ran 6.8 km; they did not run the same distance.)
3. **The correct equation is \( s - 2.3 = 6.8 \)** - **True** (This is the accurate equation based on the information provided.)
4. **The correct equation is \( 2.3s = 6.8 \)** - **False** (This equation does not represent the relationship given in the problem.)
5. **The correct equation is \( s + 2.3 = 6.8 \)** - **False** (This does not represent the relationship; it should be subtraction, not addition.)
6. **Dean ran further than Sam.** - **False** (As established, Sam ran farther than Dean.)

Thus, the two true statements are:
- Sam ran further than Dean.
- The correct equation is \( s - 2.3 = 6.8 \).