Question

Together, Ben and Kyle have 43 fishing lures. Kyle, (K), has 15 more lures than Ben, (B). Which statements are correct for this situation?
Responses

A B + 42 = KB + 42 = K

B K + 15 = BK + 15 = B

C B + 15 = KB + 15 = K

D 43 − B = K43 − B = K

E 43 − 15 = B43

Answer 1

To solve the situation with Ben and Kyle and their fishing lures, we can set up the equations based on the information provided.

1. **They have a combined total of 43 fishing lures**:
\( B + K = 43 \)

2. **Kyle has 15 more lures than Ben**:
\( K = B + 15 \)

Now, let's analyze the given statements:

**A**: \( B + 42 = K \)
This is incorrect. It should be \( K = B + 15 \), not 42.

**B**: \( K + 15 = B \)
This is incorrect because it rearranges the relationship incorrectly. It should be \( K = B + 15 \).

**C**: \( B + 15 = K \)
This is correct. It directly reflects the relationship that Kyle has 15 more lures than Ben.

**D**: \( 43 - B = K \)
This is correct. You can rearrange the first equation \( K = 43 - B \).

**E**: \( 43 - 15 = B \)
This is incorrect. It misrepresents the relationships set up in the problem.

So, the correct statements are **C** and **D**.