Mrs Toh gave Shannon and Emma some money each on Monday. On Tuesday, Shannon gave
15 of the amount she had to Emma. On Wednesday, Emma gave
13 of the amount she had to Shannon. In the end, Shannon had $52 and Emma had $16. How much did Emma had more than Shannon at first?
| |
Shannon |
Emma |
Total |
| Before 1 |
5 u |
? |
$68 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
3 p |
$68 |
| Before 2 |
$52 - 1 p |
3 p |
$68 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$52 |
2 p
($16) |
$68 |
Amount that Emma had in the end = 2 p
2 p = 16
1 p = 16 ÷ 2 = 8
Working backwards.
Amount that Shannon had after giving to Emma on Tuesday
= 52 - 1 p
= 52 - 8
= $44
4 u = 44
1 u = 44 ÷ 4 = 11
Amount that Shannon had at first
= 5 u
= 5 x 11
= $55
Total amount that Shannon and Emma had
= 52 + 16
= $68
Amount that Emma had at first
= 68 - 55
= $13
Amount that Shannon had more than Emma
= 55 - 13
= $42
Answer(s): $42
