Oliver and Brandon had 77 beads in total. Brandon had 27 beads more than Oliver at first. After Oliver and Brandon played a game with Joelle, Oliver had ¹₁₀ as many beads as Brandon. If Oliver lost as many beads as Brandon to Joelle, find the number of beads that Oliver lost to Joelle.

	Oliver	Brandon	Difference
Before	1 u	1 u + 27	27
Change	- ?	- ?
After	1 p	10 p	9 p

Total number of beads at first
= 1 u + 1 u + 27 
= 2 u + 27

2 u + 27 = 77
2 u = 77 - 27
2 u = 50

1 u = 50 ÷ 2 = 25

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

Difference in the number of beads in the end
= 10 p - 1 p
= 9 p

9 p = 27

1 p = 27 ÷ 9 = 3

Number of beads that Oliver lost to Joelle
= 1 u - 1 p
= 25 - 1 x 3
= 25 - 3
= 22

Answer(s): 22