Mrs Heng gave Lynn and Lucy some money each on Monday. On Tuesday, Lynn gave
13 of the amount she had to Lucy. On Wednesday, Lucy gave
16 of the amount she had to Lynn. In the end, Lynn had $29 and Lucy had $35. How much did Lucy had more than Lynn at first?
| |
Lynn |
Lucy |
Total |
| Before 1 |
3 u |
? |
$64 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
2 u |
6 p |
$64 |
| Before 2 |
$29 - 1 p |
6 p |
$64 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$29 |
5 p
($35) |
$64 |
Amount that Lucy had in the end = 5 p
5 p = 35
1 p = 35 ÷ 5 = 7
Working backwards.
Amount that Lynn had after giving to Lucy on Tuesday
= 29 - 1 p
= 29 - 7
= $22
2 u = 22
1 u = 22 ÷ 2 = 11
Amount that Lynn had at first
= 3 u
= 3 x 11
= $33
Total amount that Lynn and Lucy had
= 29 + 35
= $64
Amount that Lucy had at first
= 64 - 33
= $31
Amount that Lynn had more than Lucy
= 33 - 31
= $2
Answer(s): $2
