Hazel gave 15% of her collection of beads to Hilda thereby increasing Hilda's collection by 30%. If Hazel had 51 beads left, how many beads did Hilda have at first?
|
Hazel's beads |
Hilda's beads |
Before |
100% |
100 u |
Change |
- 15% |
+ 15% = + 30 u |
After |
85% |
130 u |
85% of Hazel's collection = 51
1% of Hazel's collection = 51 ÷ 85 = 0.6
15% of Hazel's collection = 15 x 0.6 = 9
30 u of Hilda's collection = 9
1 u of Hilda's collection =
930 = 0.3
100 u of Hilda's collection = 100 x 0.3 = 30
Answer(s): 30