Bob has B marbles in his marble collection. After Bob got another 15 marbles, he gives away 1/5 of his marbles. Write an expression for the number of marbles that Bob now has. Explain your reasoning.

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Answer:

[tex]\frac{B}{5} + 3[/tex]

Step-by-step explanation:

B: number of marbles

Bob got 15 marbles: [tex]B+15[/tex]

Bob gives away 1/5 of his marbles. So, let's multiply our first expression by 1/5

[tex](B+15) X\frac{1}{5}[/tex]

Next, apply the distributive property of multiplication

[tex]\frac{B}{5} + \frac{15}{5}  = \frac{B}{5} + 3[/tex]

To the initial B marbles that Bob has, plus 15 aditional marbles he got later, we multiply it by 1/5 applying its distributive porperty to obtain the number of marbles that Bob now has

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