Pamela and Elyse had 897 stamps altogether. They decided to play a game. In the first round, Elyse lost 58 stamps to Pamela. In the second round, Pamela lost 40 stamps to Elyse. At the end of the two rounds, Elyse had twice as many stamps as Pamela.
- How many stamps did Pamela have in the end?
- How many stamps did Elyse have at the beginning of the game?
|
Pamela |
Elyse |
Total |
Before |
1 u + 40 - 58 |
2 u - 40 + 58 |
897 |
Round 1 |
+ 58 |
- 58 |
|
Round 2 |
- 40 |
+ 40 |
|
After |
1 u |
2 u |
897 |
(a)
Total number of stamps
= 1 u + 2 u
= 3 u
3 u = 897
1 u = 897 ÷ 3 = 299
Number of stamps that Pamela had in the end
= 1 u
= 299
(b)
Working backwards.
Number of stamps that Elyse had at the end of round 2
= 2 u
= 2 x 299
= 598
Number of stamps that Elyse had at the end of round 1
= 598 - 40
= 558
Number of stamps that Elyse had at the beginning of the game
= 558 + 58
= 616
Answer(s): (a) 299; (b) 616