Luis, Ethan and Chan collected beads in the ratio of 8 : 5 : 8. After Chan gave
710 to Luis and Ethan, Chan had 97 less beads than Luis. The number of beads that Ethan had increased by 30%. How many beads did Luis and Chan have in the end?
| |
Luis |
Ethan |
Chan |
| Before |
8 u |
5 u |
8 u |
| Change |
+ 4.1 u |
+ 1.5 u |
- 5.6 u |
| After |
12.1 u |
6.5 u |
2.4 u |
Number of beads that Chan gave to Luis and Ethan
=
710 x 8 u
= 5.6 u
Number of beads that Ethan received from Chan
=
30100 x 5 u
= 1.5 u
Number of beads that Luis received from Chan
= 5.6 u - 1.5 u
= 4.1 u
Number of less beads that Chan had less than Luis
= 12.1 u - 2.4 u
= 9.7 u
9.7 u = 97
1 u = 97 ÷ 9.7 = 10
Number of beads that Luis and Chan had
= 12.1 u + 2.4 u
= 14.5 u
= 14.5 x 10
= 145
Answer(s): 145
