Emma had $210 more than Yoko. Emma gave
23 of her money to Yoko. Yoko then gave 20% of her money to Emma. In the end, Yoko had $152 more than Emma. How much did Emma have at first?
| |
Emma |
Yoko |
Comparing Emma
and Yoko at first |
210 more |
|
| Before |
3 u |
+ 210 |
3 u |
|
| Change 1 |
- 2 u |
- 140 |
+ 2 u |
+ 140 |
| After 1 |
1 u |
+ 70 |
5 u |
+ 140 |
| Change 2 |
+ 1 u |
+ 28 |
- 1 u |
- 28 |
| After 2 |
2 u |
+ 98 |
4 u |
+ 112 |
23 x 210= 140
210 - 140 = 70
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 140
=
20100 x 140
= 28
140 - 28 = 112
70 + 28 = 98
If Emma received another $152 in the end, Emma and Yoko would have the same amount of money.
4 u + 112 = 2 u + 98 + 152
4 u - 2 u = 98 + 152 - 112
2 u = 138
1 u = 138 ÷ 2 = 69
Amount that Emma had at first
= 3 u + 210
= 3 x 69 + 210
= 207 + 210
= $417
Answer(s): $417
