Nick has 10% as many buttons as Rael. If Nick gives away 20% of the buttons and Rael gives away 40% of his buttons, they will have 204 buttons altogether. How many buttons do the two of them have?
| |
Nick |
Rael |
Total |
Comparing Nick
and Rael at first |
1x5 =
5 u |
10x5 =
50 u |
|
| Before |
5x1 =
5 u |
5x10 =
50 u |
|
| Change |
- 1x1 =
- 1 u |
- 2x10 =
- 20 u |
|
| After |
4x1 =
4 u |
3x10 =
30 u |
204 |
10% =
10100 =
110 20% =
20100 =
15 40% =
40100 =
25 The number of buttons that Nick has at first is repeated. Make the number of buttons that Nick has the same. LCM of 1 and 5 is 5 u.
The number of buttons that Rael has at first is repeated. Make the number of buttons that Rael has the same. LCM of 10 and 5 is 50 u.
Number of buttons in the end
= 4 u + 30 u
= 34 u
34 u = 204
1 u = 204 ÷ 34 = 6
Total number of buttons that the two of them have
= 5 u + 50 u
= 55 u
= 55 x 6
= 330
Answer(s): 330
