Problem Solving

Bradley owns b video game cartridges. If Bradley's total is one-third the total owned by Andrew and four times the total owned by Charlie, how many video games cartridges do the three own altogether, in terms of b?

A) 16/3b
B)17/4b
C)13/4b
D)19/12b
E)7/12b

Bradley owns b video game cartridges. If Bradley's total is one-third the total owned by Andrew and four times the total owned by Charlie, how many video games cartridges do the three own altogether, in terms of b?

A) 16/3b
B)17/4b
C)13/4b
D)19/12b
E)7/12b

Say Bradley owns 4 video games, so b = 4.
If Bradley's total of 4 is 1/3 the total owned by Andrew, Andrew owns 12 video games.
If Bradley owns 4 times the amount Charlie owns, then Charlie owns 1 video game.

Together, they own 4 + 12 + 1 = 17. So when b = 4, we get a total of 17.

When we plug 4 in for b, no answer choice gives us 17 the way they're currently written, so I'm assuming, they should read:

A) (16/3)b
B)( 17/4)b
C) (13/4)b
D) (19/12)b
E) (7/12)b

When we plug b = 4 into B we get 17, so this is our answer.