Mrs Yang gave Kylie and Yen some money each on Monday. On Tuesday, Kylie gave
16 of the amount she had to Yen. On Wednesday, Yen gave
15 of the amount she had to Kylie. In the end, Kylie had $23 and Yen had $12. How much did Yen had more than Kylie at first?
| |
Kylie |
Yen |
Total |
| Before 1 |
6 u |
? |
$35 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
5 u |
5 p |
$35 |
| Before 2 |
$23 - 1 p |
5 p |
$35 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$23 |
4 p
($12) |
$35 |
Amount that Yen had in the end = 4 p
4 p = 12
1 p = 12 ÷ 4 = 3
Working backwards.
Amount that Kylie had after giving to Yen on Tuesday
= 23 - 1 p
= 23 - 3
= $20
5 u = 20
1 u = 20 ÷ 5 = 4
Amount that Kylie had at first
= 6 u
= 6 x 4
= $24
Total amount that Kylie and Yen had
= 23 + 12
= $35
Amount that Yen had at first
= 35 - 24
= $11
Amount that Kylie had more than Yen
= 24 - 11
= $13
Answer(s): $13
