Question

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. If Hugh bought 3 magazines, how many books did he buy?

The equation that models the problem is 3.95m + 8.95b = 47.65, where m is the number of magazines and b is the number of books.

__ books

Answer 1

4 books and the work is all in the photo you are very welcome

Answer 2

4 books

Explanation:

Our problem here is:

`(3.95)3+8.95b=47.65`

So we have to find B, and that will be our answer (the number of books).

1. Simplify the expression

`3.95\cdot 3+8.95x=47.65`

Combine like terms:

`11.85+8.95x=47.65`

2. Group all constants on the right side of the equation

`11.85+8.95x=47.65`

Subtract from both sides:

`11.85+8.95x-11.85=47.65-11.85`

Group like terms:

`8.95x+11.85-11.85=47.65-11.85`

Simplify the arithmetic:

`8.95x=47.65-11.85`

Simplify the arithmetic:

`8.95x=35.8`

3. Isolate the x

`8.95x=35.8`

Divide both sides by 8.95:

`(8.95x)/(8.95)=(35.8)/(8.95)`

Simplify the arithmetic:

`x=(35.8)/(8.95)`

Simplify the arithmetic:

`x=4`

Hence, the number of books is 4