Japheth bought 62 more erasers than Oscar and Oscar bought 20 erasers more than Lucy. The total number of erasers Japheth and Oscar bought was 5 times the number of erasers Lucy bought.
- How many erasers does Japheth need to give Oscar so that they have the same number of erasers?
- How many erasers did all three of them have altogether?
Japheth |
Oscar |
Lucy |
1 u + 20 + 62 |
1 u + 20 |
1 u |
5 u |
1 u |
(a)
Number of erasers that Japheth needs to give Oscar so that they have same number of erasers
= 62 ÷ 2
= 31
(b)
Total number of erasers that Japheth and Oscar had
= 1 u + 20 + 62 + 1 u + 20
= 1 u + 1 u + 20 + 62 + 20
= 2 u + 102
5 u = 2 u + 102
5 u - 2 u = 102
3 u = 102
1 u = 102 ÷ 3 = 34
Total number of erasers that all three of them had
= 5 u + 1 u
= 6 u
= 6 x 34
= 204
Answer(s): (a) 31; (b) 204