Reggie, Jack and Glen had 120 beads. After Reggie used 19 beads and Jack used
16 of her beads, Reggie had twice as many beads left as Jack. Glen bought another 23 beads, he had thrice the number of beads Jack had left. How many beads did Glen have at first?
| |
Reggie |
Jack |
Glen |
Total |
| Before |
10 u + 19 |
6 u |
15 u - 23 |
120 |
| Change |
- 19 |
- 1 u |
+ 23 |
|
| After |
10 u |
5 u |
15 u |
|
Comparing Reggie
and Jack in the end |
2 |
1 |
|
|
Comparing Glen
and Jack in the end |
|
1 |
3 |
|
Number of beads that Reggie had in the end
= 2 x 5 u
= 10 u
Number of beads that Glen had in the end
= 3 x 5 u
= 15 u
Total number of beads at first
= 10 u + 19 + 6 u + 15 u - 23
= 31 u - 4
31 u - 4 = 120
31 u = 120 + 4
31 u = 124
1 u = 124 ÷ 31 = 4
Number of beads that Glen had at first
= 15 u - 23
= 15 x 4 - 23
= 60 - 23
= 37
Answer(s): 37
