Glen, Ian and Cyrus collected cards in the ratio of 8 : 7 : 9. After Cyrus gave
710 to Glen and Ian, Cyrus had 67 less cards than Glen. The number of cards that Ian had increased by 70%. How many cards did Glen and Cyrus have in the end?
| |
Glen |
Ian |
Cyrus |
| Before |
8 u |
7 u |
9 u |
| Change |
+ 1.4 u |
+ 4.9 u |
- 6.3 u |
| After |
9.4 u |
11.9 u |
2.7 u |
Number of cards that Cyrus gave to Glen and Ian
=
710 x 9 u
= 6.3 u
Number of cards that Ian received from Cyrus
=
70100 x 7 u
= 4.9 u
Number of cards that Glen received from Cyrus
= 6.3 u - 4.9 u
= 1.4 u
Number of less cards that Cyrus had less than Glen
= 9.4 u - 2.7 u
= 6.7 u
6.7 u = 67
1 u = 67 ÷ 6.7 = 10
Number of cards that Glen and Cyrus had
= 9.4 u + 2.7 u
= 12.1 u
= 12.1 x 10
= 121
Answer(s): 121
