Japheth, Seth and Chan collected cards in the ratio of 11 : 4 : 7. After Chan gave
310 to Japheth and Seth, Chan had 312 less cards than Japheth. The number of cards that Seth had increased by 10%. How many cards did Japheth and Chan have in the end?
| |
Japheth |
Seth |
Chan |
| Before |
11 u |
4 u |
7 u |
| Change |
+ 1.7 u |
+ 0.4 u |
- 2.1 u |
| After |
12.7 u |
4.4 u |
4.9 u |
Number of cards that Chan gave to Japheth and Seth
=
310 x 7 u
= 2.1 u
Number of cards that Seth received from Chan
=
10100 x 4 u
= 0.4 u
Number of cards that Japheth received from Chan
= 2.1 u - 0.4 u
= 1.7 u
Number of less cards that Chan had less than Japheth
= 12.7 u - 4.9 u
= 7.8 u
7.8 u = 312
1 u = 312 ÷ 7.8 = 40
Number of cards that Japheth and Chan had
= 12.7 u + 4.9 u
= 17.6 u
= 17.6 x 40
= 704
Answer(s): 704
