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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

Sagot :

BrainlyMaster21

Answer:

4 books

Step-by-step explanation:

Our problem here is:

[tex](3.95)3+8.95b=47.65[/tex]

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

1. Simplify the expression

[tex]3.95\cdot 3+8.95x=47.65[/tex]

Combine like terms:

[tex]11.85+8.95x=47.65[/tex]

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

[tex]11.85+8.95x=47.65[/tex]

Subtract  from both sides:

[tex]11.85+8.95x-11.85=47.65-11.85[/tex]

Group like terms:

[tex]8.95x+11.85-11.85=47.65-11.85[/tex]

Simplify the arithmetic:

[tex]8.95x=47.65-11.85[/tex]

Simplify the arithmetic:

[tex]8.95x=35.8[/tex]

3. Isolate the x

[tex]8.95x=35.8[/tex]

Divide both sides by 8.95:

[tex]\frac{8.95x}{8.95}=\frac{35.8}{8.95}[/tex]

Simplify the arithmetic:

[tex]x=\frac{35.8}{8.95}[/tex]

Simplify the arithmetic:

[tex]x=4[/tex]

Hence, the number of books is 4

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