Fred, Valen and Ahmad had 144 beads. After Fred used 22 beads and Valen used
13 of her beads, Fred had thrice as many beads left as Valen. Ahmad bought another 31 beads, he had four times the number of beads Valen had left. How many beads did Ahmad have at first?
| |
Fred |
Valen |
Ahmad |
Total |
| Before |
6 u + 22 |
3 u |
8 u - 31 |
144 |
| Change |
- 22 |
- 1 u |
+ 31 |
|
| After |
6 u |
2 u |
8 u |
|
Comparing Fred
and Valen in the end |
3 |
1 |
|
|
Comparing Ahmad
and Valen in the end |
|
1 |
4 |
|
Number of beads that Fred had in the end
= 3 x 2 u
= 6 u
Number of beads that Ahmad had in the end
= 4 x 2 u
= 8 u
Total number of beads at first
= 6 u + 22 + 3 u + 8 u - 31
= 17 u - 9
17 u - 9 = 144
17 u = 144 + 9
17 u = 153
1 u = 153 ÷ 17 = 9
Number of beads that Ahmad had at first
= 8 u - 31
= 8 x 9 - 31
= 72 - 31
= 41
Answer(s): 41
