Oliver bought 74 more erasers than Vincent and Vincent bought 12 erasers more than Jane. The total number of erasers Oliver and Vincent bought was 4 times the number of erasers Jane bought.
- How many erasers does Oliver need to give Vincent so that they have the same number of erasers?
- How many erasers did all three of them have altogether?
Oliver |
Vincent |
Jane |
1 u + 12 + 74 |
1 u + 12 |
1 u |
4 u |
1 u |
(a)
Number of erasers that Oliver needs to give Vincent so that they have same number of erasers
= 74 ÷ 2
= 37
(b)
Total number of erasers that Oliver and Vincent had
= 1 u + 12 + 74 + 1 u + 12
= 1 u + 1 u + 12 + 74 + 12
= 2 u + 98
4 u = 2 u + 98
4 u - 2 u = 98
2 u = 98
1 u = 98 ÷ 2 = 49
Total number of erasers that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 49
= 245
Answer(s): (a) 37; (b) 245