Rael bought 36 more coins than Valen and Valen bought 18 coins more than Barbara. The total number of coins Rael and Valen bought was 5 times the number of coins Barbara bought.
- How many coins does Rael need to give Valen so that they have the same number of coins?
- How many coins did all three of them have altogether?
Rael |
Valen |
Barbara |
1 u + 18 + 36 |
1 u + 18 |
1 u |
5 u |
1 u |
(a)
Number of coins that Rael needs to give Valen so that they have same number of coins
= 36 ÷ 2
= 18
(b)
Total number of coins that Rael and Valen had
= 1 u + 18 + 36 + 1 u + 18
= 1 u + 1 u + 18 + 36 + 18
= 2 u + 72
5 u = 2 u + 72
5 u - 2 u = 72
3 u = 72
1 u = 72 ÷ 3 = 24
Total number of coins that all three of them had
= 5 u + 1 u
= 6 u
= 6 x 24
= 144
Answer(s): (a) 18; (b) 144