Lucy had $105 more than Fiona. Lucy gave
23 of her money to Fiona. Fiona then gave 20% of her money to Lucy. In the end, Fiona had $289 more than Lucy. How much did Lucy have at first?
| |
Lucy |
Fiona |
Comparing Lucy
and Fiona at first |
105 more |
|
| Before |
3 u |
+ 105 |
3 u |
|
| Change 1 |
- 2 u |
- 70 |
+ 2 u |
+ 70 |
| After 1 |
1 u |
+ 35 |
5 u |
+ 70 |
| Change 2 |
+ 1 u |
+ 14 |
- 1 u |
- 14 |
| After 2 |
2 u |
+ 49 |
4 u |
+ 56 |
23 x 105= 70
105 - 70 = 35
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 70
=
20100 x 70
= 14
70 - 14 = 56
35 + 14 = 49
If Lucy received another $289 in the end, Lucy and Fiona would have the same amount of money.
4 u + 56 = 2 u + 49 + 289
4 u - 2 u = 49 + 289 - 56
2 u = 282
1 u = 282 ÷ 2 = 141
Amount that Lucy had at first
= 3 u + 105
= 3 x 141 + 105
= 423 + 105
= $528
Answer(s): $528
