Ben and Andy had 101 marbles in total. Ben had 49 marbles less than Andy at first. After Ben and Andy played a game with Ivory, Ben had ³₁₀ as many marbles as Andy. If Ben lost as many marbles as Andy to Ivory, find the number of marbles that Andy lost to Ivory.

	Ben	Andy	Difference
Before	1 u	1 u + 49	49
Change	- ?	- ?
After	3 p	10 p	7 p

Total number of marbles at first
= 1 u + 1 u + 49 
= 2 u + 49

2 u + 49 = 101
2 u = 101 - 49
2 u = 52

1 u = 52 ÷ 2 = 26

Since Ben lost the same number of marbles as Andy, the difference in the number of marbles between Ben and Andy at first and in the end remains the same.

Difference in the number of marbles in the end
= 10 p - 3 p
= 7 p

7 p = 49

1 p = 49 ÷ 7 = 7

Number of marbles that Ben lost to Ivory
= 1 u - 3 p
= 26 - 3 x 7
= 26 - 21
= 5

Since Andy lost the same number of marbles as Ben, the number of marbles that each lost to Ivory is the same.

Number of marbles that Andy lost = 5

Answer(s): 5