Mary has 3 times as many buttons as Yoko. Yoko has
23 as many buttons as Fiona. If the three of them have a total of 22 buttons, how many buttons does Fiona have?
Mary |
Yoko |
Fiona |
3x2 |
1x2 |
|
|
2x1 |
3x1 |
6 u |
2 u |
3 u |
The number of buttons that Yoko has is repeated. Make the number of buttons that Yoko has the same. LCM of 1 and 2 is 2.
Total number of buttons that the three of them have
= 6 u + 2 u + 3 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Number of buttons that Fiona has
= 3 u
= 3 x 2
= 6
Answer(s): 6