Peter bought 38 more erasers than Tom and Tom bought 14 erasers more than Ivory. The total number of erasers Peter and Tom bought was 5 times the number of erasers Ivory bought.
- How many erasers does Peter need to give Tom so that they have the same number of erasers?
- How many erasers did all three of them have altogether?
Peter |
Tom |
Ivory |
1 u + 14 + 38 |
1 u + 14 |
1 u |
5 u |
1 u |
(a)
Number of erasers that Peter needs to give Tom so that they have same number of erasers
= 38 ÷ 2
= 19
(b)
Total number of erasers that Peter and Tom had
= 1 u + 14 + 38 + 1 u + 14
= 1 u + 1 u + 14 + 38 + 14
= 2 u + 66
5 u = 2 u + 66
5 u - 2 u = 66
3 u = 66
1 u = 66 ÷ 3 = 22
Total number of erasers that all three of them had
= 5 u + 1 u
= 6 u
= 6 x 22
= 132
Answer(s): (a) 19; (b) 132