Mary had $165 less than Gabby. Gabby gave
23 of her money to Mary. Mary then gave 20% of her money to Gabby. In the end, Mary had $179 more than Gabby. How much did Mary have at first?
| |
Gabby |
Mary |
| Comparing Gabby and Mary at first |
165 more |
|
| Before |
3 u |
+ 165 |
3 u |
|
| Change 1 |
- 2 u |
- 110 |
+ 2 u |
+ 110 |
| After 1 |
1 u |
+ 55 |
5 u |
+ 110 |
| Change 2 |
+ 1 u |
+ 22 |
- 1 u |
- 22 |
| After 2 |
2 u |
+ 77 |
4 u |
+ 88 |
23 x 165= 110
165 - 110 = 55
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 110
=
20100 x 110
= 22
110 - 22 = 88
55 + 22 = 77
If Gabby received another $179 in the end, Gabby and Mary would have the same amount of money.
4 u + 88 = 2 u + 77 + 179
4 u - 2 u = 77 + 179 - 88
2 u = 168
1 u = 168 ÷ 2 = 84
Amount that Mary had at first
= 3 u
= 3 x 84
= $252
Answer(s): $252
