Mrs Lin gave Usha and Yoko some money each on Monday. On Tuesday, Usha gave
15 of the amount she had to Yoko. On Wednesday, Yoko gave
16 of the amount she had to Usha. In the end, Usha had $42 and Yoko had $10. How much did Yoko had more than Usha at first?
| |
Usha |
Yoko |
Total |
| Before 1 |
5 u |
? |
$52 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
6 p |
$52 |
| Before 2 |
$42 - 1 p |
6 p |
$52 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$42 |
5 p
($10) |
$52 |
Amount that Yoko had in the end = 5 p
5 p = 10
1 p = 10 ÷ 5 = 2
Working backwards.
Amount that Usha had after giving to Yoko on Tuesday
= 42 - 1 p
= 42 - 2
= $40
4 u = 40
1 u = 40 ÷ 4 = 10
Amount that Usha had at first
= 5 u
= 5 x 10
= $50
Total amount that Usha and Yoko had
= 42 + 10
= $52
Amount that Yoko had at first
= 52 - 50
= $2
Amount that Usha had more than Yoko
= 50 - 2
= $48
Answer(s): $48
