Emma had $120 more than Fanny. Emma gave
35 of her money to Fanny. Fanny then gave 25% of her money to Emma. In the end, Fanny had $162 more than Emma. How much did Emma have at first?
| |
Emma |
Fanny |
Comparing Emma
and Fanny at first |
120 more |
|
| Before |
5 u |
+ 120 |
5 u |
|
| Change 1 |
- 3 u |
- 72 |
+ 3 u |
+ 72 |
| After 1 |
2 u |
+ 48 |
8 u |
+ 72 |
| Change 2 |
+ 2 u |
+ 18 |
- 2 u |
- 18 |
| After 2 |
4 u |
+ 66 |
6 u |
+ 54 |
35 x 120= 72
120 - 72 = 48
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 72
=
25100 x 72
= 18
72 - 18 = 54
48 + 18 = 66
If Emma received another $162 in the end, Emma and Fanny would have the same amount of money.
6 u + 54 = 4 u + 66 + 162
6 u - 4 u = 66 + 162 - 54
2 u = 174
1 u = 174 ÷ 2 = 87
Amount that Emma had at first
= 5 u + 120
= 5 x 87 + 120
= 435 + 120
= $555
Answer(s): $555
