Jean had $380 more than Cindy. Jean gave
35 of her money to Cindy. Cindy then gave 25% of her money to Jean. In the end, Jean had $276 less than Cindy. How much did Jean have at first?
| |
Jean |
Cindy |
| Comparing Jean and Cindy at first |
380 more |
|
| Before |
5 u |
+ 380 |
5 u |
|
| Change 1 |
- 3 u |
- 228 |
+ 3 u |
+ 228 |
| After 1 |
2 u |
+ 152 |
8 u |
+ 228 |
| Change 2 |
+ 2 u |
+ 57 |
- 2 u |
- 57 |
| After 2 |
4 u |
+ 209 |
6 u |
+ 171 |
35 x 380= 228
380 - 228 = 152
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 228
=
25100 x 228
= 57
228 - 57 = 171
152 + 57 = 209
If Jean received another $276 in the end, Jean and Cindy would have the same amount of money.
6 u + 171 = 4 u + 209 + 276
6 u - 4 u = 209 + 276 - 171
2 u = 314
1 u = 314 ÷ 2 = 157
Amount that Jean had at first
= 5 u + 380
= 5 x 157 + 380
= 785 + 380
= $1165
Answer(s): $1165
