Mrs Chew gave Fanny and Sabrina some money each on Monday. On Tuesday, Fanny gave
14 of the amount she had to Sabrina. On Wednesday, Sabrina gave
16 of the amount she had to Fanny. In the end, Fanny had $37 and Sabrina had $35. How much did Sabrina had more than Fanny at first?
|
Fanny |
Sabrina |
Total |
Before 1 |
4 u |
? |
$72 |
Change 1 |
- 1 u |
+ 1 u |
|
After 1 |
3 u |
6 p |
$72 |
Before 2 |
$37 - 1 p |
6 p |
$72 |
Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$37 |
5 p ($35) |
$72 |
Amount that Sabrina had in the end = 5 p
5 p = 35
1 p = 35 ÷ 5 = 7
Working backwards.
Amount that Fanny had after giving to Sabrina on Tuesday
= 37 - 1 p
= 37 - 7
= $30
3 u = 30
1 u = 30 ÷ 3 = 10
Amount that Fanny had at first
= 4 u
= 4 x 10
= $40
Total amount that Fanny and Sabrina had
= 37 + 35
= $72
Amount that Sabrina had at first
= 72 - 40
= $32
Amount that Fanny had more than Sabrina
= 40 - 32
= $8
Answer(s): $8