Lynn and Gabby had 880 stickers altogether. They decided to play a game. In the first round, Gabby lost 57 stickers to Lynn. In the second round, Lynn lost 31 stickers to Gabby. At the end of the two rounds, Gabby had four times as many stickers as Lynn.
- How many stickers did Lynn have in the end?
- How many stickers did Gabby have at the beginning of the game?
|
Lynn |
Gabby |
Total |
Before |
1 u + 31 - 57 |
4 u - 31 + 57 |
880 |
Round 1 |
+ 57 |
- 57 |
|
Round 2 |
- 31 |
+ 31 |
|
After |
1 u |
4 u |
880 |
(a)
Total number of stickers
= 1 u + 4 u
= 5 u
5 u = 880
1 u = 880 ÷ 5 = 176
Number of stickers that Lynn had in the end
= 1 u
= 176
(b)
Working backwards.
Number of stickers that Gabby had at the end of round 2
= 4 u
= 4 x 176
= 704
Number of stickers that Gabby had at the end of round 1
= 704 - 31
= 673
Number of stickers that Gabby had at the beginning of the game
= 673 + 57
= 730
Answer(s): (a) 176; (b) 730