Cody, Charlie and Simon had a total of 561 buttons at first. After a week, the number of Cody's buttons became 4 times the number of buttons he had at first. The number of Charlie's buttons decreased by 262. Simon 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 Simon have at first?
- What was the total number of buttons that the three boys had in the end?
|
Cody |
Charlie |
Simon |
Total |
Before |
1 u |
4 u + 262 |
8 u |
|
Change |
x 4 |
- 262 |
x 12 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of buttons at first
=
1 u + 4 u + 262 + 8 u
= 13 u + 262
13 u + 262 = 56113 u = 561 - 26213 u = 299
1 u = 299 ÷ 13 = 23 Number of buttons that Simon had at first
= 4 u ÷
12= 4 u x
21= 8 u = 8 x 23 = 184(b)Total number of buttons that the three boys had at the end = 12 u = 12 x 23 = 276 Answer(s): (a) 184; (b) 276