Neave had 6 times as many buttons as Ryan at first. Then each of them bought an equal number of new buttons. In the end, Ryan had 35 buttons and Neave had 4 times as many buttons as Ryan. How many buttons did both of them buy altogether?
| |
Neave |
Ryan |
Difference |
| Before |
6x3 =
18 u |
1x3 =
3 u |
5x3 =
15 u |
| Change |
+ ? |
+ ? |
|
| After |
4x5 =
20 u |
1x5 =
5 u |
3x5 =
15 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 3 is 15.
Number of buttons that Ryan had in the end = 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Number of buttons that Neave bought
= 20 u - 18 u
= 2 u
Number of buttons that both of them bought altogether
= 2 x 2 u
= 4 u
= 4 x 7
= 28
Answer(s): 28
