Opal has 4 times as many buttons as Emily. Emily has
38 as many buttons as Gwen. If the three of them have a total of 161 buttons, how many buttons does Opal have?
Opal |
Emily |
Gwen |
4x3 |
1x3 |
|
|
3x1 |
8x1 |
12 u |
3 u |
8 u |
The number of buttons that Emily has is repeated. Make the number of buttons that Emily has the same. LCM of 1 and 3 is 3.
Total number of buttons that the three of them have
= 12 u + 3 u + 8 u
= 23 u
23 u = 161
1 u = 161 ÷ 23 = 7
Number of buttons that Opal has
= 12 u
= 12 x 7
= 84
Answer(s): 84