Xuan gave 10% of her collection of pens to Hazel thereby increasing Hazel's collection by 25%. If Xuan had 54 pens left, how many pens did Hazel have at first?
| |
Xuan's pens |
Hazel's pens |
| Before |
100% |
100 u |
| Change |
- 10% |
+ 10% = + 25 u |
| After |
90% |
125 u |
90% of Xuan's collection = 54
1% of Xuan's collection = 54 ÷ 90 = 0.6
10% of Xuan's collection = 10 x 0.6 = 6
25 u of Hazel's collection = 6
1 u of Hazel's collection =
624 = 0.24
100 u of Hazel's collection = 100 x 0.24 = 24
Answer(s): 24
