Nick bought 66 more beads than Ian and Ian bought 15 beads more than Kathy. The total number of beads Nick and Ian bought was 4 times the number of beads Kathy bought.
- How many beads does Nick need to give Ian so that they have the same number of beads?
- How many beads did all three of them have altogether?
Nick |
Ian |
Kathy |
1 u + 15 + 66 |
1 u + 15 |
1 u |
4 u |
1 u |
(a)
Number of beads that Nick needs to give Ian so that they have same number of beads
= 66 ÷ 2
= 33
(b)
Total number of beads that Nick and Ian had
= 1 u + 15 + 66 + 1 u + 15
= 1 u + 1 u + 15 + 66 + 15
= 2 u + 96
4 u = 2 u + 96
4 u - 2 u = 96
2 u = 96
1 u = 96 ÷ 2 = 48
Total number of beads that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 48
= 240
Answer(s): (a) 33; (b) 240