Wendy had $240 more than Jean. Wendy gave
23 of her money to Jean. Jean then gave 20% of her money to Wendy. In the end, Jean had $220 more than Wendy. How much did Wendy have at first?
| |
Wendy |
Jean |
Comparing Wendy
and Jean at first |
240 more |
|
| Before |
3 u |
+ 240 |
3 u |
|
| Change 1 |
- 2 u |
- 160 |
+ 2 u |
+ 160 |
| After 1 |
1 u |
+ 80 |
5 u |
+ 160 |
| Change 2 |
+ 1 u |
+ 32 |
- 1 u |
- 32 |
| After 2 |
2 u |
+ 112 |
4 u |
+ 128 |
23 x 240= 160
240 - 160 = 80
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 160
=
20100 x 160
= 32
160 - 32 = 128
80 + 32 = 112
If Wendy received another $220 in the end, Wendy and Jean would have the same amount of money.
4 u + 128 = 2 u + 112 + 220
4 u - 2 u = 112 + 220 - 128
2 u = 204
1 u = 204 ÷ 2 = 102
Amount that Wendy had at first
= 3 u + 240
= 3 x 102 + 240
= 306 + 240
= $546
Answer(s): $546
