Dana, Cathy, Cole and Lucy shared some beads. Dana and Cathy took
14 of the total number of beads while Cole and Lucy took the rest. Cathy had four times as many beads as Dana and Lucy had 48 beads. Given that Lucy had twice as many beads as Cathy, how many beads were there altogether?
Dana |
Cathy |
Cole |
Lucy |
Total |
1x5 |
3x5 |
4x5 |
1 |
4 |
|
|
|
|
1x4 |
|
2x4 |
|
1 u |
4 u |
7 u |
8 u |
20 u |
Number of beads that Cathy had is repeated. Make the number of beads that Cathy had the same. LCM of 4 and 1 is 4.
Number of beads that Lucy had = 8 u
8 u = 48
1 u = 48 ÷ 8 = 6
Total number of beads
= 20 u
= 20 x 6
= 120
Answer(s): 120