Mrs Fong gave Lucy and Irene some money each on Tuesday. On Wednesday, Lucy gave
14 of the amount she had to Irene. On Thursday, Irene gave
15 of the amount she had to Lucy. In the end, Lucy had $14 and Irene had $8. How much did Irene had more than Lucy at first?
| |
Lucy |
Irene |
Total |
| Before 1 |
4 u |
? |
$22 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
3 u |
5 p |
$22 |
| Before 2 |
$14 - 1 p |
5 p |
$22 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$14 |
4 p
($8) |
$22 |
Amount that Irene had in the end = 4 p
4 p = 8
1 p = 8 ÷ 4 = 2
Working backwards.
Amount that Lucy had after giving to Irene on Wednesday
= 14 - 1 p
= 14 - 2
= $12
3 u = 12
1 u = 12 ÷ 3 = 4
Amount that Lucy had at first
= 4 u
= 4 x 4
= $16
Total amount that Lucy and Irene had
= 14 + 8
= $22
Amount that Irene had at first
= 22 - 16
= $6
Amount that Lucy had more than Irene
= 16 - 6
= $10
Answer(s): $10
