Abi had $140 more than Cathy. Abi gave
35 of her money to Cathy. Cathy then gave 25% of her money to Abi. In the end, Cathy had $184 more than Abi. How much did Abi have at first?
| |
Abi |
Cathy |
Comparing Abi
and Cathy at first |
140 more |
|
| Before |
5 u |
+ 140 |
5 u |
|
| Change 1 |
- 3 u |
- 84 |
+ 3 u |
+ 84 |
| After 1 |
2 u |
+ 56 |
8 u |
+ 84 |
| Change 2 |
+ 2 u |
+ 21 |
- 2 u |
- 21 |
| After 2 |
4 u |
+ 77 |
6 u |
+ 63 |
35 x 140= 84
140 - 84 = 56
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 84
=
25100 x 84
= 21
84 - 21 = 63
56 + 21 = 77
If Abi received another $184 in the end, Abi and Cathy would have the same amount of money.
6 u + 63 = 4 u + 77 + 184
6 u - 4 u = 77 + 184 - 63
2 u = 198
1 u = 198 ÷ 2 = 99
Amount that Abi had at first
= 5 u + 140
= 5 x 99 + 140
= 495 + 140
= $635
Answer(s): $635
