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 s+2.3=6.8
The correct equation is s plus 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.

Answer 1

To find out how far Sam ran, we start with the information given. If Dean ran 2.3 fewer kilometers than Sam and Dean ran 6.8 km, we can express that in equation form:

Let \( s \) be the distance Sam ran. The equation can be set up as:

\[ s - 2.3 = 6.8 \]

Now we solve for \( s \):
\[ s = 6.8 + 2.3 \]
\[ s = 9.1 \text{ km} \]

Now, let's analyze the statements given:

1. **Sam ran further than Dean.** (This is true since Sam ran 9.1 km and Dean ran 6.8 km.)
2. **The boys ran the same distance.** (This is false, as Sam ran 9.1 km and Dean ran 6.8 km.)
3. **The correct equation is \( s - 2.3 = 6.8 \).** (This is true; this is the equation we set up.)
4. **The correct equation is \( s + 2.3 = 6.8 \).** (This is false, as it does not reflect the relationship described.)
5. **The correct equation is \( 2.3s = 6.8 \).** (This is false; this equation does not describe the situation.)
6. **Dean ran further than Sam.** (This is false; Sam ran further than Dean.)

Thus, the two statements that are true are:

- Sam ran further than Dean.
- The correct equation is \( s - 2.3 = 6.8 \).