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
