Mrs Leow gave Irene and Jen some money each on Tuesday. On Wednesday, Irene gave
16 of the amount she had to Jen. On Thursday, Jen gave
13 of the amount she had to Irene. In the end, Irene had $29 and Jen had $18. How much did Jen had more than Irene at first?
|
Irene |
Jen |
Total |
Before 1 |
6 u |
? |
$47 |
Change 1 |
- 1 u |
+ 1 u |
|
After 1 |
5 u |
3 p |
$47 |
Before 2 |
$29 - 1 p |
3 p |
$47 |
Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$29 |
2 p ($18) |
$47 |
Amount that Jen had in the end = 2 p
2 p = 18
1 p = 18 ÷ 2 = 9
Working backwards.
Amount that Irene had after giving to Jen on Wednesday
= 29 - 1 p
= 29 - 9
= $20
5 u = 20
1 u = 20 ÷ 5 = 4
Amount that Irene had at first
= 6 u
= 6 x 4
= $24
Total amount that Irene and Jen had
= 29 + 18
= $47
Amount that Jen had at first
= 47 - 24
= $23
Amount that Irene had more than Jen
= 24 - 23
= $1
Answer(s): $1