Luis, Riordan and Henry had 126 beads. After Luis used 31 beads and Riordan used
47 of her beads, Luis had twice as many beads left as Riordan. Henry bought another 37 beads, he had thrice the number of beads Riordan had left. How many beads did Henry have at first?
| |
Luis |
Riordan |
Henry |
Total |
| Before |
6 u + 31 |
7 u |
9 u - 37 |
126 |
| Change |
- 31 |
- 4 u |
+ 37 |
|
| After |
6 u |
3 u |
9 u |
|
Comparing Luis
and Riordan in the end |
2 |
1 |
|
|
Comparing Henry
and Riordan in the end |
|
1 |
3 |
|
Number of beads that Luis had in the end
= 2 x 3 u
= 6 u
Number of beads that Henry had in the end
= 3 x 3 u
= 9 u
Total number of beads at first
= 6 u + 31 + 7 u + 9 u - 37
= 22 u - 6
22 u - 6 = 126
22 u = 126 + 6
22 u = 132
1 u = 132 ÷ 22 = 6
Number of beads that Henry had at first
= 9 u - 37
= 9 x 6 - 37
= 54 - 37
= 17
Answer(s): 17
