Julian, Glen and Clayton collected cards in the ratio of 8 : 6 : 9. After Clayton gave
710 to Julian and Glen, Clayton had 490 less cards than Julian. The number of cards that Glen had increased by 30%. How many cards did Julian and Clayton have in the end?
|
Julian |
Glen |
Clayton |
Before |
8 u |
6 u |
9 u |
Change |
+ 4.5 u |
+ 1.8 u |
- 6.3 u |
After |
12.5 u |
7.8 u |
2.7 u |
Number of cards that Clayton gave to Julian and Glen
=
710 x 9 u
= 6.3 u
Number of cards that Glen received from Clayton
=
30100 x 6 u
= 1.8 u
Number of cards that Julian received from Clayton
= 6.3 u - 1.8 u
= 4.5 u
Number of less cards that Clayton had less than Julian
= 12.5 u - 2.7 u
= 9.8 u
9.8 u = 490
1 u = 490 ÷ 9.8 = 50
Number of cards that Julian and Clayton had
= 12.5 u + 2.7 u
= 15.2 u
= 15.2 x 50
= 760
Answer(s): 760