Peter and Ryan had 84 beads in total. Ryan had 18 beads more than Peter at first. After Peter and Ryan played a game with Tammy, Peter had ¹₄ as many beads as Ryan. If Peter lost as many beads as Ryan to Tammy, find the number of beads that Peter lost to Tammy.

	Peter	Ryan	Difference
Before	1 u	1 u + 18	18
Change	- ?	- ?
After	1 p	4 p	3 p

Total number of beads at first
= 1 u + 1 u + 18 
= 2 u + 18

2 u + 18 = 84
2 u = 84 - 18
2 u = 66

1 u = 66 ÷ 2 = 33

Since Peter lost the same number of beads as Ryan, the difference in the number of beads between Peter and Ryan at first and in the end remains the same.

Difference in the number of beads in the end
= 4 p - 1 p
= 3 p

3 p = 18

1 p = 18 ÷ 3 = 6

Number of beads that Peter lost to Tammy
= 1 u - 1 p
= 33 - 1 x 6
= 33 - 6
= 27

Answer(s): 27