Mrs Ang gave Irene and Jade some money each on Monday. On Tuesday, Irene gave
15 of the amount she had to Jade. On Wednesday, Jade gave
14 of the amount she had to Irene. In the end, Irene had $51 and Jade had $21. How much did Jade had more than Irene at first?
|
Irene |
Jade |
Total |
Before 1 |
5 u |
? |
$72 |
Change 1 |
- 1 u |
+ 1 u |
|
After 1 |
4 u |
4 p |
$72 |
Before 2 |
$51 - 1 p |
4 p |
$72 |
Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$51 |
3 p ($21) |
$72 |
Amount that Jade had in the end = 3 p
3 p = 21
1 p = 21 ÷ 3 = 7
Working backwards.
Amount that Irene had after giving to Jade on Tuesday
= 51 - 1 p
= 51 - 7
= $44
4 u = 44
1 u = 44 ÷ 4 = 11
Amount that Irene had at first
= 5 u
= 5 x 11
= $55
Total amount that Irene and Jade had
= 51 + 21
= $72
Amount that Jade had at first
= 72 - 55
= $17
Amount that Irene had more than Jade
= 55 - 17
= $38
Answer(s): $38