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.

Answer:4 booksStep-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