Harry, Archie and Will had 210 buttons. After Harry used 24 buttons and Archie used
17 of her buttons, Harry had four times as many buttons left as Archie. Will bought another 29 buttons, he had twice the number of buttons Archie had left. How many buttons did Will have at first?
| |
Harry |
Archie |
Will |
Total |
| Before |
24 u + 24 |
7 u |
12 u - 29 |
210 |
| Change |
- 24 |
- 1 u |
+ 29 |
|
| After |
24 u |
6 u |
12 u |
|
Comparing Harry
and Archie in the end |
4 |
1 |
|
|
Comparing Will
and Archie in the end |
|
1 |
2 |
|
Number of buttons that Harry had in the end
= 4 x 6 u
= 24 u
Number of buttons that Will had in the end
= 2 x 6 u
= 12 u
Total number of buttons at first
= 24 u + 24 + 7 u + 12 u - 29
= 43 u - 5
43 u - 5 = 210
43 u = 210 + 5
43 u = 215
1 u = 215 ÷ 43 = 5
Number of buttons that Will had at first
= 12 u - 29
= 12 x 5 - 29
= 60 - 29
= 31
Answer(s): 31
