Japheth bought 36 more beads than Jeremy and Jeremy bought 17 beads more than Mary. The total number of beads Japheth and Jeremy bought was 4 times the number of beads Mary bought.
- How many beads does Japheth need to give Jeremy so that they have the same number of beads?
- How many beads did all three of them have altogether?
Japheth |
Jeremy |
Mary |
1 u + 17 + 36 |
1 u + 17 |
1 u |
4 u |
1 u |
(a)
Number of beads that Japheth needs to give Jeremy so that they have same number of beads
= 36 ÷ 2
= 18
(b)
Total number of beads that Japheth and Jeremy had
= 1 u + 17 + 36 + 1 u + 17
= 1 u + 1 u + 17 + 36 + 17
= 2 u + 70
4 u = 2 u + 70
4 u - 2 u = 70
2 u = 70
1 u = 70 ÷ 2 = 35
Total number of beads that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 35
= 175
Answer(s): (a) 18; (b) 175