Mrs Lu gave Usha and Jen some money each on Tuesday. On Wednesday, Usha gave
15 of the amount she had to Jen. On Thursday, Jen gave
16 of the amount she had to Usha. In the end, Usha had $50 and Jen had $30. How much did Jen had more than Usha at first?
| |
Usha |
Jen |
Total |
| Before 1 |
5 u |
? |
$80 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
6 p |
$80 |
| Before 2 |
$50 - 1 p |
6 p |
$80 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$50 |
5 p
($30) |
$80 |
Amount that Jen had in the end = 5 p
5 p = 30
1 p = 30 ÷ 5 = 6
Working backwards.
Amount that Usha had after giving to Jen on Wednesday
= 50 - 1 p
= 50 - 6
= $44
4 u = 44
1 u = 44 ÷ 4 = 11
Amount that Usha had at first
= 5 u
= 5 x 11
= $55
Total amount that Usha and Jen had
= 50 + 30
= $80
Amount that Jen had at first
= 80 - 55
= $25
Amount that Usha had more than Jen
= 55 - 25
= $30
Answer(s): $30
