Question

Jastine has m math books. Grace has five more than twice the number of math books that Jastine has. Danilo has three times the number of math books that Grace has. What algebraic expression represents the number of math books Danilo has?

Answer 1

wrong

Answer 2

Let's break down the information given:

1. Jastine has \( m \) math books.
2. Grace has five more than twice the number of math books that Jastine has. This can be expressed as:
\[
\text{Grace's books} = 2m + 5
\]
3. Danilo has three times the number of math books that Grace has. To find an expression for Danilo's books, we multiply Grace's books by 3:
\[
\text{Danilo's books} = 3 \times \text{Grace's books} = 3(2m + 5)
\]

Now we can simplify this expression:
\[
\text{Danilo's books} = 3(2m + 5) = 3 \cdot 2m + 3 \cdot 5 = 6m + 15
\]

Therefore, the algebraic expression that represents the number of math books Danilo has is:
\[
6m + 15
\]

Answer 3

Let’s go through the problem again step by step.

1. **Jastine has \( m \) math books.**
2. **Grace has five more than twice the number of math books that Jastine has.** This means:
\[
\text{Grace's books} = 2m + 5
\]
3. **Danilo has three times the number of math books that Grace has.** Therefore, we set up the equation for Danilo as:
\[
\text{Danilo's books} = 3 \times \text{Grace's books} = 3(2m + 5)
\]

Now let's simplify:
\[
\text{Danilo's books} = 3(2m + 5) = 3 \cdot 2m + 3 \cdot 5 = 6m + 15
\]

This confirms the earlier calculation.

If you believe there's a different interpretation or point of confusion, please clarify, and I'll do my best to address it! However, based purely on the information given, the algebraic expression representing the number of math books Danilo has is indeed:
\[
6m + 15
\]