Japheth, Tim and Chan collected marbles in the ratio of 12 : 4 : 7. After Chan gave
710 to Japheth and Tim, Chan had 400 less marbles than Japheth. The number of marbles that Tim had increased by 120%. How many marbles did Japheth and Chan have in the end?
| |
Japheth |
Tim |
Chan |
| Before |
12 u |
4 u |
7 u |
| Change |
+ 0.1 u |
+ 4.8 u |
- 4.9 u |
| After |
12.1 u |
8.8 u |
2.1 u |
Number of marbles that Chan gave to Japheth and Tim
=
710 x 7 u
= 4.9 u
Number of marbles that Tim received from Chan
=
120100 x 4 u
= 4.8 u
Number of marbles that Japheth received from Chan
= 4.9 u - 4.8 u
= 0.1 u
Number of less marbles that Chan had less than Japheth
= 12.1 u - 2.1 u
= 10 u
10 u = 400
1 u = 400 ÷ 10 = 40
Number of marbles that Japheth and Chan had
= 12.1 u + 2.1 u
= 14.2 u
= 14.2 x 40
= 568
Answer(s): 568
