Esther and Gwen shared a box of beads. Esther had 81% of the total beads. if Esther gave 310 of her beads to Gwen, both would have the same number of beads. How many beads did Gwen have?
|
Esther |
Gwen |
Total |
Before |
81% |
19% |
100% |
Change |
- 31% |
+ 31% |
|
After |
50% |
50% |
100% |
Total number of beads that Esther and Gwen shared = 100%
If Esther gave 310 beads to Gwen, both would have the same number of beads.
Number of beads that each would have in the end
= 100% ÷ 2
= 50%
Number of beads that Esther gave to Gwen
= 81% - 50%
= 31%
31% → 310
1% → 310 ÷ 31 = 10
Number of beads that Gwen had
= 19%
= 19 x 10
= 190
Answer(s): 190