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

Answer:

4 books

Step-by-step 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:

$\frac{8.95x}{8.95}=\frac{35.8}{8.95}$

Simplify the arithmetic:

$x=\frac{35.8}{8.95}$

Simplify the arithmetic:

$x=4$

Hence, the number of books is 4

Answer 2

Answer:

4

Step-by-step explanation: