Simon, Caden and Cyrus collected cards in the ratio of 7 : 4 : 10. After Cyrus gave
310 to Simon and Caden, Cyrus had 28 less cards than Simon. The number of cards that Caden had increased by 40%. How many cards did Simon and Cyrus have in the end?
|
Simon |
Caden |
Cyrus |
Before |
7 u |
4 u |
10 u |
Change |
+ 1.4 u |
+ 1.6 u |
- 3 u |
After |
8.4 u |
5.6 u |
7 u |
Number of cards that Cyrus gave to Simon and Caden
=
310 x 10 u
= 3 u
Number of cards that Caden received from Cyrus
=
40100 x 4 u
= 1.6 u
Number of cards that Simon received from Cyrus
= 3 u - 1.6 u
= 1.4 u
Number of less cards that Cyrus had less than Simon
= 8.4 u - 7 u
= 1.4 u
1.4 u = 28
1 u = 28 ÷ 1.4 = 20
Number of cards that Simon and Cyrus had
= 8.4 u + 7 u
= 15.4 u
= 15.4 x 20
= 308
Answer(s): 308