Ryan, Carl and Will had a total of 531 beads at first. After a week, the number of Ryan's beads became 5 times the number of beads he had at first. The number of Carl's beads decreased by 227. Will had half as many beads as he had at first. In the end, the three boys had the same number of beads.
- How many beads did Will have at first?
- What was the total number of beads that the three boys had in the end?
|
Ryan |
Carl |
Will |
Total |
Before |
1 u |
5 u + 227 |
10 u |
|
Change |
x 5 |
- 227 |
x 12 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of beads at first
=
1 u + 5 u + 227 + 10 u
= 16 u + 227
16 u + 227 = 53116 u = 531 - 22716 u = 304
1 u = 304 ÷ 16 = 19 Number of beads that Will had at first
= 5 u ÷
12= 5 u x
21= 10 u = 10 x 19 = 190(b)Total number of beads that the three boys had at the end = 15 u = 15 x 19 = 285 Answer(s): (a) 190; (b) 285