Ian, Bobby and Calvin collected beads in the ratio of 8 : 8 : 9. After Calvin gave
35 to Ian and Bobby, Calvin had 66 less beads than Ian. The number of beads that Bobby had increased by 40%. How many beads did Ian and Calvin have in the end?
| |
Ian |
Bobby |
Calvin |
| Before |
8 u |
8 u |
9 u |
| Change |
+ 2.2 u |
+ 3.2 u |
- 5.4 u |
| After |
10.2 u |
11.2 u |
3.6 u |
Number of beads that Calvin gave to Ian and Bobby
=
35 x 9 u
= 5.4 u
Number of beads that Bobby received from Calvin
=
40100 x 8 u
= 3.2 u
Number of beads that Ian received from Calvin
= 5.4 u - 3.2 u
= 2.2 u
Number of less beads that Calvin had less than Ian
= 10.2 u - 3.6 u
= 6.6 u
6.6 u = 66
1 u = 66 ÷ 6.6 = 10
Number of beads that Ian and Calvin had
= 10.2 u + 3.6 u
= 13.8 u
= 13.8 x 10
= 138
Answer(s): 138
