Emma, Barbara, Lee and Hazel shared some beads. Emma and Barbara took
16 of the total number of beads while Lee and Hazel took the rest. Barbara had thrice as many beads as Emma and Hazel had 144 beads. Given that Hazel had four times as many beads as Barbara, how many beads were there altogether?
Emma |
Barbara |
Lee |
Hazel |
Total |
1x4 |
5x4 |
6x4 |
1 |
3 |
|
|
|
|
1x3 |
|
4x3 |
|
1 u |
3 u |
8 u |
12 u |
24 u |
Number of beads that Barbara had is repeated. Make the number of beads that Barbara had the same. LCM of 3 and 1 is 3.
Number of beads that Hazel had = 12 u
12 u = 144
1 u = 144 ÷ 12 = 12
Total number of beads
= 24 u
= 24 x 12
= 288
Answer(s): 288