Archie has 30% as many buttons as Zane. If Archie gives away 50% of the buttons and Zane gives away 40% of his buttons, they will have 60 buttons altogether. How many buttons do the two of them have?
| |
Archie |
Zane |
Total |
Comparing Archie
and Zane at first |
3x2 =
6 u |
10x2 =
20 u |
|
| Before |
2x3 =
6 u |
5x4 =
20 u |
|
| Change |
- 1x3 =
- 3 u |
- 2x4 =
- 8 u |
|
| After |
1x3 =
3 u |
3x4 =
12 u |
60 |
30% =
30100 =
310 50% =
50100 =
12 40% =
40100 =
25 The number of buttons that Archie has at first is repeated. Make the number of buttons that Archie has the same. LCM of 3 and 2 is 6 u.
The number of buttons that Zane has at first is repeated. Make the number of buttons that Zane has the same. LCM of 10 and 5 is 20 u.
Number of buttons in the end
= 3 u + 12 u
= 15 u
15 u = 60
1 u = 60 ÷ 15 = 4
Total number of buttons that the two of them have
= 6 u + 20 u
= 26 u
= 26 x 4
= 104
Answer(s): 104
