Mrs Lee gave Emily and Diana some money each on Tuesday. On Wednesday, Emily gave
14 of the amount she had to Diana. On Thursday, Diana gave
15 of the amount she had to Emily. In the end, Emily had $39 and Diana had $36. How much did Diana had more than Emily at first?
| |
Emily |
Diana |
Total |
| Before 1 |
4 u |
? |
$75 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
3 u |
5 p |
$75 |
| Before 2 |
$39 - 1 p |
5 p |
$75 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$39 |
4 p
($36) |
$75 |
Amount that Diana had in the end = 4 p
4 p = 36
1 p = 36 ÷ 4 = 9
Working backwards.
Amount that Emily had after giving to Diana on Wednesday
= 39 - 1 p
= 39 - 9
= $30
3 u = 30
1 u = 30 ÷ 3 = 10
Amount that Emily had at first
= 4 u
= 4 x 10
= $40
Total amount that Emily and Diana had
= 39 + 36
= $75
Amount that Diana had at first
= 75 - 40
= $35
Amount that Emily had more than Diana
= 40 - 35
= $5
Answer(s): $5
