Rael, David and Wesley had 126 coins. After Rael used 24 coins and David used
13 of her coins, Rael had twice as many coins left as David. Wesley bought another 33 coins, he had four times the number of coins David had left. How many coins did Wesley have at first?
| |
Rael |
David |
Wesley |
Total |
| Before |
4 u + 24 |
3 u |
8 u - 33 |
126 |
| Change |
- 24 |
- 1 u |
+ 33 |
|
| After |
4 u |
2 u |
8 u |
|
Comparing Rael
and David in the end |
2 |
1 |
|
|
Comparing Wesley
and David in the end |
|
1 |
4 |
|
Number of coins that Rael had in the end
= 2 x 2 u
= 4 u
Number of coins that Wesley had in the end
= 4 x 2 u
= 8 u
Total number of coins at first
= 4 u + 24 + 3 u + 8 u - 33
= 15 u - 9
15 u - 9 = 126
15 u = 126 + 9
15 u = 135
1 u = 135 ÷ 15 = 9
Number of coins that Wesley had at first
= 8 u - 33
= 8 x 9 - 33
= 72 - 33
= 39
Answer(s): 39
