Barbara, Jade, Caden and Dana shared some beads. Barbara and Jade took
15 of the total number of beads while Caden and Dana took the rest. Jade had four times as many beads as Barbara and Dana had 84 beads. Given that Dana had thrice as many beads as Jade, how many beads were there altogether?
Barbara |
Jade |
Caden |
Dana |
Total |
1x5 |
4x5 |
5x5 |
1 |
4 |
|
|
|
|
1x4 |
|
3x4 |
|
1 u |
4 u |
8 u |
12 u |
25 u |
Number of beads that Jade had is repeated. Make the number of beads that Jade had the same. LCM of 4 and 1 is 4.
Number of beads that Dana had = 12 u
12 u = 84
1 u = 84 ÷ 12 = 7
Total number of beads
= 25 u
= 25 x 7
= 175
Answer(s): 175