Roshel has 25% as many beads as Gabby. Gabby has 130% as many beads as Risa. If Gabby gives 18 beads to Risa, both will then have an equal number of beads. Find the average number of beads the three of them have.
Roshel |
Gabby |
Risa |
1x13 |
4x13 |
|
|
13x4 |
10x4 |
13 u |
52 u |
40 u |
25% =
25100 =
14130% =
130100=
1310The number of beads that Roshel has is repeated. Make the number of beads that Roshel has the same. LCM of 4 and 13 is 52.
|
Gabby |
Risa |
Total |
Before |
52 u |
40 u |
92 u |
Change |
- 6 u |
+ 6 u |
|
After |
46 u |
46 u |
92 u |
Total number of beads that Gabby and Risa have
= 52 u + 40 u
= 92 u
After Gabby gives to Risa, both of them will have the same number of beads.
The total number of beads that Gabby and Risa have remains unchanged.
Number of beads that each of them will have
= 92 u ÷ 2
= 46 u
Number of beads that Gabby gives to Risa
= 52 u - 46 u
= 6 u
6 u = 18
1 u = 18 ÷ 6 = 3
Total number of beads that three of them have
= 92 u + 13 u
= 105 u
Average number of beads that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 3
= 105
Answer(s): 105