Mrs Fong gave Tammy and Fiona some money each on Thursday. On Friday, Tammy gave
14 of the amount she had to Fiona. On Saturday, Fiona gave
16 of the amount she had to Tammy. In the end, Tammy had $22 and Fiona had $20. How much did Fiona had more than Tammy at first?
| |
Tammy |
Fiona |
Total |
| Before 1 |
4 u |
? |
$42 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
3 u |
6 p |
$42 |
| Before 2 |
$22 - 1 p |
6 p |
$42 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$22 |
5 p
($20) |
$42 |
Amount that Fiona had in the end = 5 p
5 p = 20
1 p = 20 ÷ 5 = 4
Working backwards.
Amount that Tammy had after giving to Fiona on Friday
= 22 - 1 p
= 22 - 4
= $18
3 u = 18
1 u = 18 ÷ 3 = 6
Amount that Tammy had at first
= 4 u
= 4 x 6
= $24
Total amount that Tammy and Fiona had
= 22 + 20
= $42
Amount that Fiona had at first
= 42 - 24
= $18
Amount that Tammy had more than Fiona
= 24 - 18
= $6
Answer(s): $6
