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?

Question

( ) ( )m+( )

Answer 1

Let's break down the information given in the problem step by step:

1. Jastine's math books: Jastine has \( m \) math books.

2. Grace's math books: 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's math books: Danilo has three times the number of math books that Grace has. Therefore, we can express Danilo's books as: \[ \text{Danilo's books} = 3 \times (\text{Grace's books}) = 3(2m + 5) \]

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

So, the algebraic expression representing the number of math books Danilo has is: \[ 6m + 15 \]

In the requested form, it will look like this: \[ (6)(m) + (15) \]