George bought 76 more coins than Vaidev and Vaidev bought 16 coins more than Lynn. The total number of coins George and Vaidev bought was 5 times the number of coins Lynn bought.
- How many coins does George need to give Vaidev so that they have the same number of coins?
- How many coins did all three of them have altogether?
George |
Vaidev |
Lynn |
1 u + 16 + 76 |
1 u + 16 |
1 u |
5 u |
1 u |
(a)
Number of coins that George needs to give Vaidev so that they have same number of coins
= 76 ÷ 2
= 38
(b)
Total number of coins that George and Vaidev had
= 1 u + 16 + 76 + 1 u + 16
= 1 u + 1 u + 16 + 76 + 16
= 2 u + 108
5 u = 2 u + 108
5 u - 2 u = 108
3 u = 108
1 u = 108 ÷ 3 = 36
Total number of coins that all three of them had
= 5 u + 1 u
= 6 u
= 6 x 36
= 216
Answer(s): (a) 38; (b) 216