Emily had $460 more than Zoe. Emily gave
35 of her money to Zoe. Zoe then gave 25% of her money to Emily. In the end, Zoe had $272 more than Emily. How much did Emily have at first?
| |
Emily |
Zoe |
Comparing Emily
and Zoe at first |
460 more |
|
| Before |
5 u |
+ 460 |
5 u |
|
| Change 1 |
- 3 u |
- 276 |
+ 3 u |
+ 276 |
| After 1 |
2 u |
+ 184 |
8 u |
+ 276 |
| Change 2 |
+ 2 u |
+ 69 |
- 2 u |
- 69 |
| After 2 |
4 u |
+ 253 |
6 u |
+ 207 |
35 x 460= 276
460 - 276 = 184
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 276
=
25100 x 276
= 69
276 - 69 = 207
184 + 69 = 253
If Emily received another $272 in the end, Emily and Zoe would have the same amount of money.
6 u + 207 = 4 u + 253 + 272
6 u - 4 u = 253 + 272 - 207
2 u = 318
1 u = 318 ÷ 2 = 159
Amount that Emily had at first
= 5 u + 460
= 5 x 159 + 460
= 795 + 460
= $1255
Answer(s): $1255
