Fiona and Jane collected erasers. Jane gave 75% of her erasers to Fiona. As a result, Fiona's erasers increased by 25%. If Fiona had 75 erasers left, find the total number of erasers the two girls had at first.
| |
Comparing the change
in Jane's erasers |
Jane |
Fiona |
| Before |
4x1 =
4 u |
|
4x3 =
12 u |
| Change |
- 3x1 =
- 3 u |
- 1x3 =
- 3 u |
+ 1x3 =
+ 3 u |
| After |
1x1 =
1 u |
|
5x3 =
15 u |
75% =
75100 =
34 25% =
25100 =
14 The number of erasers that Fiona gave to Jane is repeated. Make the number of erasers that Fiona gave to Jane the same. LCM of 1 and 3 is 3.
Number of erasers that Fiona had in the end = 15 u
15 u = 75
1 u = 75 ÷ 15 = 5
Number of erasers that Jane and Fiona had at first
= 4 u + 12 u
= 16 u
= 16 x 5
= 80
Answer(s): 80
