Kamal and Jason had 128 marbles altogether. Kamal gave away three times as many marbles as Jason. The marbles Jason had left was 4 fewer than the marbles he gave away. Jason had three times as many marbles left as Kamal. How many marbles did Jason have at first?

Guest May 6, 2021

#1**+2 **

Let the number of marbles that Kamal had in the beginning= K

Then Jason had (128 - K)

Let the number of marbles that Jason gave away = G

Then the number of marbles that Kamal gave away = 3G

And the number that Kamal had left = K - 3G

And we know that, from Jason's point of view

What he started with - what he gave away = what he had left

(128 - K) - G = G - 4 simplify

(128 - K) = 2G - 4

128 + 4 - 2G = K

132 - 2G = K (1)

And from Kamal's point of view we have that

3 times what he had left = what Jason had left

3(K - 3G) = G - 4 (2)

Sub (1) into (2)

3 ( 132 - 2G - 3G) = G - 4

396 - 15G = G - 4

400 = 16G

G = 400/16 = 25

What Jason started with = 2G - 4 = 2*25 - 4 = 46

CPhill May 6, 2021