Mrs Yang gave Rachel and Tammy some money each on Monday. On Tuesday, Rachel gave
16 of the amount she had to Tammy. On Wednesday, Tammy gave
15 of the amount she had to Rachel. In the end, Rachel had $38 and Tammy had $12. How much did Tammy had more than Rachel at first?
| |
Rachel |
Tammy |
Total |
| Before 1 |
6 u |
? |
$50 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
5 u |
5 p |
$50 |
| Before 2 |
$38 - 1 p |
5 p |
$50 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$38 |
4 p
($12) |
$50 |
Amount that Tammy had in the end = 4 p
4 p = 12
1 p = 12 ÷ 4 = 3
Working backwards.
Amount that Rachel had after giving to Tammy on Tuesday
= 38 - 1 p
= 38 - 3
= $35
5 u = 35
1 u = 35 ÷ 5 = 7
Amount that Rachel had at first
= 6 u
= 6 x 7
= $42
Total amount that Rachel and Tammy had
= 38 + 12
= $50
Amount that Tammy had at first
= 50 - 42
= $8
Amount that Rachel had more than Tammy
= 42 - 8
= $34
Answer(s): $34
