Hazel had $380 more than Gabby. Hazel gave
35 of her money to Gabby. Gabby then gave 25% of her money to Hazel. In the end, Hazel had $202 less than Gabby. How much did Hazel have at first?
| |
Hazel |
Gabby |
| Comparing Hazel and Gabby 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 Hazel received another $202 in the end, Hazel and Gabby would have the same amount of money.
6 u + 171 = 4 u + 209 + 202
6 u - 4 u = 209 + 202 - 171
2 u = 240
1 u = 240 ÷ 2 = 120
Amount that Hazel had at first
= 5 u + 380
= 5 x 120 + 380
= 600 + 380
= $980
Answer(s): $980
