Jaslyn and Erika had 819 erasers altogether. They decided to play a game. In the first round, Erika lost 56 erasers to Jaslyn. In the second round, Jaslyn lost 40 erasers to Erika. At the end of the two rounds, Erika had six times as many erasers as Jaslyn.

1. How many erasers did Jaslyn have in the end?
2. How many erasers did Erika have at the beginning of the game?

	Jaslyn	Erika	Total
Before	1 u + 40 - 56	6 u - 40 + 56	819
Round 1	+ 56	- 56
Round 2	- 40	+ 40
After	1 u	6 u	819

(a)
Total number of erasers
= 1 u + 6 u
= 7 u

7 u = 819

1 u = 819 ÷ 7 = 117

Number of erasers that Jaslyn had in the end
= 1 u
= 117

(b)
Working backwards.

Number of erasers that Erika had at the end of round 2
= 6 u
= 6 x 117
= 702

Number of erasers that Erika had at the end of round 1
= 702 - 40
= 662

Number of erasers that Erika had at the beginning of the game
= 662 + 56
= 718

Answer(s): (a) 117; (b) 718