Ben, Neave and Sean had 260 beads. After Ben used 29 beads and Neave used
37 of her beads, Ben had thrice as many beads left as Neave. Sean bought another 39 beads, he had twice the number of beads Neave had left. How many beads did Sean have at first?
| |
Ben |
Neave |
Sean |
Total |
| Before |
12 u + 29 |
7 u |
8 u - 39 |
260 |
| Change |
- 29 |
- 3 u |
+ 39 |
|
| After |
12 u |
4 u |
8 u |
|
Comparing Ben
and Neave in the end |
3 |
1 |
|
|
Comparing Sean
and Neave in the end |
|
1 |
2 |
|
Number of beads that Ben had in the end
= 3 x 4 u
= 12 u
Number of beads that Sean had in the end
= 2 x 4 u
= 8 u
Total number of beads at first
= 12 u + 29 + 7 u + 8 u - 39
= 27 u - 10
27 u - 10 = 260
27 u = 260 + 10
27 u = 270
1 u = 270 ÷ 27 = 10
Number of beads that Sean had at first
= 8 u - 39
= 8 x 10 - 39
= 80 - 39
= 41
Answer(s): 41
