Fabian, Simon and Jeremy had 135 beads. After Fabian used 12 beads and Simon used
47 of her beads, Fabian had four times as many beads left as Simon. Jeremy bought another 17 beads, he had thrice the number of beads Simon had left. How many beads did Jeremy have at first?
| |
Fabian |
Simon |
Jeremy |
Total |
| Before |
12 u + 12 |
7 u |
9 u - 17 |
135 |
| Change |
- 12 |
- 4 u |
+ 17 |
|
| After |
12 u |
3 u |
9 u |
|
Comparing Fabian
and Simon in the end |
4 |
1 |
|
|
Comparing Jeremy
and Simon in the end |
|
1 |
3 |
|
Number of beads that Fabian had in the end
= 4 x 3 u
= 12 u
Number of beads that Jeremy had in the end
= 3 x 3 u
= 9 u
Total number of beads at first
= 12 u + 12 + 7 u + 9 u - 17
= 28 u - 5
28 u - 5 = 135
28 u = 135 + 5
28 u = 140
1 u = 140 ÷ 28 = 5
Number of beads that Jeremy had at first
= 9 u - 17
= 9 x 5 - 17
= 45 - 17
= 28
Answer(s): 28
