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

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

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

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

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

The boys ran the same distance.

Answer 1

To find out how far Sam ran, we know that Dean ran 2.3 km fewer than Sam, and Dean ran 6.8 km. We can set up the equation based on this information.

Let \( s \) represent the distance Sam ran. The statement "Dean ran 2.3 fewer kilometers than Sam" translates to:

\[ s - 2.3 = 6.8 \]

Now, we can solve for \( s \):

\[
s = 6.8 + 2.3 = 9.1 \text{ km}
\]

So, Sam ran 9.1 km.

Now, let's analyze the statements given:

1. **The correct equation is s + 2.3 = 6.8**
2. **The correct equation is s plus 2 point 3 is equal to 6 point 8**
3. **The correct equation is s − 2.3 = 6.8** (True, this is the equation we set up)
4. **The correct equation is s minus 2 point 3 is equal to 6 point 8** (True, this is the same as the third statement)
5. **The correct equation is 2.3s = 6.8**
6. **Dean ran further than Sam.** (False, Dean ran 6.8 km, while Sam ran 9.1 km)
7. **Sam ran further than Dean.** (True, Sam ran 9.1 km)
8. **The boys ran the same distance.** (False)

The two true statements are:
- **The correct equation is s − 2.3 = 6.8**
- **The correct equation is s minus 2 point 3 is equal to 6 point 8**
- **Sam ran further than Dean.**

So, the correct selections for true statements about the equations and the distances ran would be:
- "The correct equation is s − 2.3 = 6.8"
- "Sam ran further than Dean."