Zeph, Rael and Clayton collected beads in the ratio of 7 : 4 : 8. After Clayton gave
35 to Zeph and Rael, Clayton had 140 less beads than Zeph. The number of beads that Rael had increased by 40%. How many beads did Zeph and Clayton have in the end?
| |
Zeph |
Rael |
Clayton |
| Before |
7 u |
4 u |
8 u |
| Change |
+ 3.2 u |
+ 1.6 u |
- 4.8 u |
| After |
10.2 u |
5.6 u |
3.2 u |
Number of beads that Clayton gave to Zeph and Rael
=
35 x 8 u
= 4.8 u
Number of beads that Rael received from Clayton
=
40100 x 4 u
= 1.6 u
Number of beads that Zeph received from Clayton
= 4.8 u - 1.6 u
= 3.2 u
Number of less beads that Clayton had less than Zeph
= 10.2 u - 3.2 u
= 7 u
7 u = 140
1 u = 140 ÷ 7 = 20
Number of beads that Zeph and Clayton had
= 10.2 u + 3.2 u
= 13.4 u
= 13.4 x 20
= 268
Answer(s): 268
