Nora had $150 more than Tammy. Nora gave
23 of her money to Tammy. Tammy then gave 20% of her money to Nora. In the end, Tammy had $236 more than Nora. How much did Nora have at first?
|
Nora |
Tammy |
Comparing Nora and Tammy at first |
150 more |
|
Before |
3 u |
+ 150 |
3 u |
|
Change 1 |
- 2 u |
- 100 |
+ 2 u |
+ 100 |
After 1 |
1 u |
+ 50 |
5 u |
+ 100 |
Change 2 |
+ 1 u |
+ 20 |
- 1 u |
- 20 |
After 2 |
2 u |
+ 70 |
4 u |
+ 80 |
23 x 150= 100
150 - 100 = 50
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 100
=
20100 x 100
= 20
100 - 20 = 80
50 + 20 = 70
If Nora received another $236 in the end, Nora and Tammy would have the same amount of money.
4 u + 80 = 2 u + 70 + 236
4 u - 2 u = 70 + 236 - 80
2 u = 226
1 u = 226 ÷ 2 = 113
Amount that Nora had at first
= 3 u + 150
= 3 x 113 + 150
= 339 + 150
= $489
Answer(s): $489