Question

Bucky Barns and Nick Fury are planning to sell each of their marble collections at a garage sale. If Bucky has 1 more than 3 times the number of marbles Nick has, how many does each have to sell if the total number of marbles is 113?To earn full credit please identify your variables and expressions you will be using to solve the problem. Show all work/calculations and thinking.

Answer 1

Step-by-step explanation:

Let the number of marble collections that Bucky barn has be b

Let the number of marble collections that Nick Fury has be n

The total number of marbles is 113

b + n = 113.............(1)

Bucky has 1 more than 3 times the number of marbles Nick has

b = 3n + 1.........(2)

Substitute equation (2) into equation (1)

3n + 1 + n = 113

3n + n = 113 - 1

4n = 112

n = 112/4

n = 28

Substitute n = 28 into equation (2)

b = 3n + 1

b = 3(28) + 1

b = 85

Nick Fury sells 28 marble collections

Bucky barns sells 28