Harry had 6 times as many buttons as Owen at first. Then each of them bought an equal number of new buttons. In the end, Owen had 50 buttons and Harry had 5 times as many buttons as Owen. How many buttons did both of them buy altogether?
| |
Harry |
Owen |
Difference |
| Before |
6x4 =
24 u |
1x4 =
4 u |
5x4 =
20 u |
| Change |
+ ? |
+ ? |
|
| After |
5x5 =
25 u |
1x5 =
5 u |
4x5 =
20 u |
The difference in the number of buttons at first and in the end remains unchanged. Make the difference in the number of buttons at first and in the end the same. LCM of 5 and 4 is 20.
Number of buttons that Owen had in the end = 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Number of buttons that Harry bought
= 25 u - 24 u
= 1 u
Number of buttons that both of them bought altogether
= 2 x 1 u
= 2 u
= 2 x 10
= 20
Answer(s): 20
