Valen bought 70 more coins than Cody and Cody bought 25 coins more than Sarah. The total number of coins Valen and Cody bought was 6 times the number of coins Sarah bought.
- How many coins does Valen need to give Cody so that they have the same number of coins?
- How many coins did all three of them have altogether?
Valen |
Cody |
Sarah |
1 u + 25 + 70 |
1 u + 25 |
1 u |
6 u |
1 u |
(a)
Number of coins that Valen needs to give Cody so that they have same number of coins
= 70 ÷ 2
= 35
(b)
Total number of coins that Valen and Cody had
= 1 u + 25 + 70 + 1 u + 25
= 1 u + 1 u + 25 + 70 + 25
= 2 u + 120
6 u = 2 u + 120
6 u - 2 u = 120
4 u = 120
1 u = 120 ÷ 4 = 30
Total number of coins that all three of them had
= 6 u + 1 u
= 7 u
= 7 x 30
= 210
Answer(s): (a) 35; (b) 210