Jade had $320 more than Yen. Jade gave
35 of her money to Yen. Yen then gave 25% of her money to Jade. In the end, Jade had $144 less than Yen. How much did Jade have at first?
| |
Jade |
Yen |
| Comparing Jade and Yen at first |
320 more |
|
| Before |
5 u |
+ 320 |
5 u |
|
| Change 1 |
- 3 u |
- 192 |
+ 3 u |
+ 192 |
| After 1 |
2 u |
+ 128 |
8 u |
+ 192 |
| Change 2 |
+ 2 u |
+ 48 |
- 2 u |
- 48 |
| After 2 |
4 u |
+ 176 |
6 u |
+ 144 |
35 x 320= 192
320 - 192 = 128
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 192
=
25100 x 192
= 48
192 - 48 = 144
128 + 48 = 176
If Jade received another $144 in the end, Jade and Yen would have the same amount of money.
6 u + 144 = 4 u + 176 + 144
6 u - 4 u = 176 + 144 - 144
2 u = 176
1 u = 176 ÷ 2 = 88
Amount that Jade had at first
= 5 u + 320
= 5 x 88 + 320
= 440 + 320
= $760
Answer(s): $760
