Zeph bought 74 more beads than Jack and Jack bought 10 beads more than Hazel. The total number of beads Zeph and Jack bought was 4 times the number of beads Hazel bought.
- How many beads does Zeph need to give Jack so that they have the same number of beads?
- How many beads did all three of them have altogether?
Zeph |
Jack |
Hazel |
1 u + 10 + 74 |
1 u + 10 |
1 u |
4 u |
1 u |
(a)
Number of beads that Zeph needs to give Jack so that they have same number of beads
= 74 ÷ 2
= 37
(b)
Total number of beads that Zeph and Jack had
= 1 u + 10 + 74 + 1 u + 10
= 1 u + 1 u + 10 + 74 + 10
= 2 u + 94
4 u = 2 u + 94
4 u - 2 u = 94
2 u = 94
1 u = 94 ÷ 2 = 47
Total number of beads that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 47
= 235
Answer(s): (a) 37; (b) 235