Greg's number of pencils is 3/5 the number of Tom's pencils. Together they have 56 pencils.How many pencils does Greg have? How many pencils does Tom have? How many more pencils does Tom have than Greg?

Answer 1

Let Tom's pencil = x
Greg's = 3/5(x)
Totals = 3/5(x) x = 56
= 3x/5 x = 56
= 3x 5x = 280
= 8x/8 = 280/8
= X = 35
Therefore. Tom's pencil = 35
Greg's = 3/5(35) = 21

Tom has (35 - 21) = 14 pencils more than greg.

Answer 2

Let G=Greg's pencils & T=Tom's penils.
G + T = 56
G = 56 - T
G = (3/5)T
(3/5)T = 56 - T
(3/5)T + T = 56
(8/5)T = 56
T = 56*(5/8) = (56/8)*5 = 7*5 = 35
G = (3/5)*35 = 3*7 = 21
35 + 21 = 56