Lynn and Yen had 816 beads altogether. They decided to play a game. In the first round, Yen lost 64 beads to Lynn. In the second round, Lynn lost 30 beads to Yen. At the end of the two rounds, Yen had five times as many beads as Lynn.
- How many beads did Lynn have in the end?
- How many beads did Yen have at the beginning of the game?
|
Lynn |
Yen |
Total |
Before |
1 u + 30 - 64 |
5 u - 30 + 64 |
816 |
Round 1 |
+ 64 |
- 64 |
|
Round 2 |
- 30 |
+ 30 |
|
After |
1 u |
5 u |
816 |
(a)
Total number of beads
= 1 u + 5 u
= 6 u
6 u = 816
1 u = 816 ÷ 6 = 136
Number of beads that Lynn had in the end
= 1 u
= 136
(b)
Working backwards.
Number of beads that Yen had at the end of round 2
= 5 u
= 5 x 136
= 680
Number of beads that Yen had at the end of round 1
= 680 - 30
= 650
Number of beads that Yen had at the beginning of the game
= 650 + 64
= 714
Answer(s): (a) 136; (b) 714