Rachel has 3 times as many buttons as Gillian. Gillian has
45 as many buttons as Nora. If the three of them have a total of 63 buttons, how many buttons does Rachel have?
Rachel |
Gillian |
Nora |
3x4 |
1x4 |
|
|
4x1 |
5x1 |
12 u |
4 u |
5 u |
The number of buttons that Gillian has is repeated. Make the number of buttons that Gillian has the same. LCM of 1 and 4 is 4.
Total number of buttons that the three of them have
= 12 u + 4 u + 5 u
= 21 u
21 u = 63
1 u = 63 ÷ 21 = 3
Number of buttons that Rachel has
= 12 u
= 12 x 3
= 36
Answer(s): 36