Gabby and Usha had 855 stamps altogether. They decided to play a game. In the first round, Usha lost 59 stamps to Gabby. In the second round, Gabby lost 37 stamps to Usha. At the end of the two rounds, Usha had four times as many stamps as Gabby.
- How many stamps did Gabby have in the end?
- How many stamps did Usha have at the beginning of the game?
|
Gabby |
Usha |
Total |
Before |
1 u + 37 - 59 |
4 u - 37 + 59 |
855 |
Round 1 |
+ 59 |
- 59 |
|
Round 2 |
- 37 |
+ 37 |
|
After |
1 u |
4 u |
855 |
(a)
Total number of stamps
= 1 u + 4 u
= 5 u
5 u = 855
1 u = 855 ÷ 5 = 171
Number of stamps that Gabby had in the end
= 1 u
= 171
(b)
Working backwards.
Number of stamps that Usha had at the end of round 2
= 4 u
= 4 x 171
= 684
Number of stamps that Usha had at the end of round 1
= 684 - 37
= 647
Number of stamps that Usha had at the beginning of the game
= 647 + 59
= 706
Answer(s): (a) 171; (b) 706