Ethan, Fabian and Henry had 154 coins. After Ethan used 28 coins and Fabian used
25 of her coins, Ethan had twice as many coins left as Fabian. Henry bought another 35 coins, he had four times the number of coins Fabian had left. How many coins did Henry have at first?
| |
Ethan |
Fabian |
Henry |
Total |
| Before |
6 u + 28 |
5 u |
12 u - 35 |
154 |
| Change |
- 28 |
- 2 u |
+ 35 |
|
| After |
6 u |
3 u |
12 u |
|
Comparing Ethan
and Fabian in the end |
2 |
1 |
|
|
Comparing Henry
and Fabian in the end |
|
1 |
4 |
|
Number of coins that Ethan had in the end
= 2 x 3 u
= 6 u
Number of coins that Henry had in the end
= 4 x 3 u
= 12 u
Total number of coins at first
= 6 u + 28 + 5 u + 12 u - 35
= 23 u - 7
23 u - 7 = 154
23 u = 154 + 7
23 u = 161
1 u = 161 ÷ 23 = 7
Number of coins that Henry had at first
= 12 u - 35
= 12 x 7 - 35
= 84 - 35
= 49
Answer(s): 49
