Justin has 10% as many buttons as Glen. If Justin gives away 25% of the buttons and Glen gives away 20% of his buttons, they will have 70 buttons altogether. How many buttons do the two of them have?
| |
Justin |
Glen |
Total |
Comparing Justin
and Glen at first |
1x4 =
4 u |
10x4 =
40 u |
|
| Before |
4x1 =
4 u |
5x8 =
40 u |
|
| Change |
- 1x1 =
- 1 u |
- 1x8 =
- 8 u |
|
| After |
3x1 =
3 u |
4x8 =
32 u |
70 |
10% =
10100 =
110 25% =
25100 =
14 20% =
20100 =
15 The number of buttons that Justin has at first is repeated. Make the number of buttons that Justin has the same. LCM of 1 and 4 is 4 u.
The number of buttons that Glen has at first is repeated. Make the number of buttons that Glen has the same. LCM of 10 and 5 is 40 u.
Number of buttons in the end
= 3 u + 32 u
= 35 u
35 u = 70
1 u = 70 ÷ 35 = 2
Total number of buttons that the two of them have
= 4 u + 40 u
= 44 u
= 44 x 2
= 88
Answer(s): 88
