Harry, Jeremy and Cole had a total of 328 buttons at first. After a week, the number of Harry's buttons became 3 times the number of buttons he had at first. The number of Jeremy's buttons decreased by 58. Cole had half as many buttons as he had at first. In the end, the three boys had the same number of buttons.
- How many buttons did Cole have at first?
- What was the total number of buttons that the three boys had in the end?
|
Harry |
Jeremy |
Cole |
Total |
Before |
1 u |
3 u + 58 |
6 u |
|
Change |
x 3 |
- 58 |
x 12 |
|
After |
3 u |
3 u |
3 u |
9 u |
(a)
Total number of buttons at first
=
1 u + 3 u + 58 + 6 u
= 10 u + 58
10 u + 58 = 32810 u = 328 - 5810 u = 270
1 u = 270 ÷ 10 = 27 Number of buttons that Cole had at first
= 3 u ÷
12= 3 u x
21= 6 u = 6 x 27 = 162(b)Total number of buttons that the three boys had at the end = 9 u = 9 x 27 = 243 Answer(s): (a) 162; (b) 243