Mrs Toh gave Tammy and Natalie some money each on Thursday. On Friday, Tammy gave
13 of the amount she had to Natalie. On Saturday, Natalie gave
14 of the amount she had to Tammy. In the end, Tammy had $26 and Natalie had $6. How much did Natalie had more than Tammy at first?
|
Tammy |
Natalie |
Total |
Before 1 |
3 u |
? |
$32 |
Change 1 |
- 1 u |
+ 1 u |
|
After 1 |
2 u |
4 p |
$32 |
Before 2 |
$26 - 1 p |
4 p |
$32 |
Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$26 |
3 p ($6) |
$32 |
Amount that Natalie had in the end = 3 p
3 p = 6
1 p = 6 ÷ 3 = 2
Working backwards.
Amount that Tammy had after giving to Natalie on Friday
= 26 - 1 p
= 26 - 2
= $24
2 u = 24
1 u = 24 ÷ 2 = 12
Amount that Tammy had at first
= 3 u
= 3 x 12
= $36
Total amount that Tammy and Natalie had
= 26 + 6
= $32
Amount that Natalie had at first
= 32 - 36
= $-4
Amount that Tammy had more than Natalie
= 36 - -4
= $40
Answer(s): $40