Opal, Nora, Ryan and Betty shared some erasers. Opal and Nora took
14 of the total number of erasers while Ryan and Betty took the rest. Nora had thrice as many erasers as Opal and Betty had 48 erasers. Given that Betty had twice as many erasers as Nora, how many erasers were there altogether?
Opal |
Nora |
Ryan |
Betty |
Total |
1x4 |
3x4 |
4x4 |
1 |
3 |
|
|
|
|
1x3 |
|
2x3 |
|
1 u |
3 u |
6 u |
6 u |
16 u |
Number of erasers that Nora had is repeated. Make the number of erasers that Nora had the same. LCM of 3 and 1 is 3.
Number of erasers that Betty had = 6 u
6 u = 48
1 u = 48 ÷ 6 = 8
Total number of erasers
= 16 u
= 16 x 8
= 128
Answer(s): 128