The ratio of Tim's marbles to Joe's marbles to Matt's marbles is 8 : 6 : 9. If Tim and Joe have 84 marbles altogether, how many marbles does Matt have?

Show your work please?

so just do this... 8x+6x+9x

then you know that 8x+6x= 84
so, 14x=84
so, x=6

then you multiply 6 by 9, and your answer is 54 marbles