Lucy, Abi and Gwen have 462 beads. Lucy has
56 as many beads as Abi. Gwen's beads is
15 of the total number of Lucy's and Abi's beads. How many beads must Abi give to Gwen so that both Lucy and Gwen will have the same number of beads?
Lucy |
Abi |
Gwen |
Total |
5x11 = 55 u |
1x11 = 11 u |
|
5x5 = 25 u |
6x5 = 30 u |
|
|
25 u |
30 u |
11 u |
462 |
Total number of beads
= 25 u + 30 u + 11 u
= 66 u
66 u = 462
1 u = 462 ÷ 66 = 7
Lucy |
Abi |
Gwen |
Total |
25 u |
30 u |
11 u |
462 |
|
- 14 u |
+ 14 u |
|
25 u |
16 u |
25 u |
462 |
Number of beads that Abi must give to Gwen
= 25 u - 11 u
= 14 u
= 14 x 7
= 98
Answer(s): 98