Japheth bought 76 more beads than Harry and Harry bought 28 beads more than Min. The total number of beads Japheth and Harry bought was 5 times the number of beads Min bought.
- How many beads does Japheth need to give Harry so that they have the same number of beads?
- How many beads did all three of them have altogether?
Japheth |
Harry |
Min |
1 u + 28 + 76 |
1 u + 28 |
1 u |
5 u |
1 u |
(a)
Number of beads that Japheth needs to give Harry so that they have same number of beads
= 76 ÷ 2
= 38
(b)
Total number of beads that Japheth and Harry had
= 1 u + 28 + 76 + 1 u + 28
= 1 u + 1 u + 28 + 76 + 28
= 2 u + 132
5 u = 2 u + 132
5 u - 2 u = 132
3 u = 132
1 u = 132 ÷ 3 = 44
Total number of beads that all three of them had
= 5 u + 1 u
= 6 u
= 6 x 44
= 264
Answer(s): (a) 38; (b) 264