Emily had $270 more than Mary. Emily gave
23 of her money to Mary. Mary then gave 20% of her money to Emily. In the end, Mary had $266 more than Emily. How much did Emily have at first?
| |
Emily |
Mary |
Comparing Emily
and Mary at first |
270 more |
|
| Before |
3 u |
+ 270 |
3 u |
|
| Change 1 |
- 2 u |
- 180 |
+ 2 u |
+ 180 |
| After 1 |
1 u |
+ 90 |
5 u |
+ 180 |
| Change 2 |
+ 1 u |
+ 36 |
- 1 u |
- 36 |
| After 2 |
2 u |
+ 126 |
4 u |
+ 144 |
23 x 270= 180
270 - 180 = 90
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 180
=
20100 x 180
= 36
180 - 36 = 144
90 + 36 = 126
If Emily received another $266 in the end, Emily and Mary would have the same amount of money.
4 u + 144 = 2 u + 126 + 266
4 u - 2 u = 126 + 266 - 144
2 u = 248
1 u = 248 ÷ 2 = 124
Amount that Emily had at first
= 3 u + 270
= 3 x 124 + 270
= 372 + 270
= $642
Answer(s): $642
