Gabriel, John and Clark collected beads in the ratio of 8 : 4 : 7. After Clark gave
710 to Gabriel and John, Clark had 424 less beads than Gabriel. The number of beads that John had increased by 5%. How many beads did Gabriel and Clark have in the end?
| |
Gabriel |
John |
Clark |
| Before |
8 u |
4 u |
7 u |
| Change |
+ 4.7 u |
+ 0.2 u |
- 4.9 u |
| After |
12.7 u |
4.2 u |
2.1 u |
Number of beads that Clark gave to Gabriel and John
=
710 x 7 u
= 4.9 u
Number of beads that John received from Clark
=
5100 x 4 u
= 0.2 u
Number of beads that Gabriel received from Clark
= 4.9 u - 0.2 u
= 4.7 u
Number of less beads that Clark had less than Gabriel
= 12.7 u - 2.1 u
= 10.6 u
10.6 u = 424
1 u = 424 ÷ 10.6 = 40
Number of beads that Gabriel and Clark had
= 12.7 u + 2.1 u
= 14.8 u
= 14.8 x 40
= 592
Answer(s): 592
