Tim, Archie and Henry had 180 beads. After Tim used 13 beads and Archie used
14 of her beads, Tim had thrice as many beads left as Archie. Henry bought another 23 beads, he had twice the number of beads Archie had left. How many beads did Henry have at first?
| |
Tim |
Archie |
Henry |
Total |
| Before |
9 u + 13 |
4 u |
6 u - 23 |
180 |
| Change |
- 13 |
- 1 u |
+ 23 |
|
| After |
9 u |
3 u |
6 u |
|
Comparing Tim
and Archie in the end |
3 |
1 |
|
|
Comparing Henry
and Archie in the end |
|
1 |
2 |
|
Number of beads that Tim had in the end
= 3 x 3 u
= 9 u
Number of beads that Henry had in the end
= 2 x 3 u
= 6 u
Total number of beads at first
= 9 u + 13 + 4 u + 6 u - 23
= 19 u - 10
19 u - 10 = 180
19 u = 180 + 10
19 u = 190
1 u = 190 ÷ 19 = 10
Number of beads that Henry had at first
= 6 u - 23
= 6 x 10 - 23
= 60 - 23
= 37
Answer(s): 37
