Alan has 6 times as many marbles as Bob. Alan has 4 times as many marbles as Charlie. If Bob has 6 marbles, how many marbles does Charlie have? Answer

Answer 1

Translate the words into math:

Alan has 6 times as many marbles as Bob.

Alan = 6 x Bob

Alan has 4 times as many marbles as Charlie.

Alan = 4 x Charlie

If Bob has 6 marbles, how many marbles does Charlie have?

Bob = 6

Charlie = ?

Use Alan's relation with Bob and Charlie to Solve for Charlie's Number of Marbles:

Alan = 6 x Bob = 4 x Charlie

Replace Bob with the number of marbles he has, 6

Alan = 6 x 6 = 4 x Charlie

Multiply 6 with 6

Alan = 36 = 4 x Charlie

Divide 36 by 4 to solve for Charlie's Number of Marbles:

36 ÷ 4 = 9

Charlie has 9 Marbles