Mrs Kok gave Hilda and Cathy some money each on Wednesday. On Thursday, Hilda gave
15 of the amount she had to Cathy. On Friday, Cathy gave
16 of the amount she had to Hilda. In the end, Hilda had $39 and Cathy had $35. How much did Cathy had more than Hilda at first?
| |
Hilda |
Cathy |
Total |
| Before 1 |
5 u |
? |
$74 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
6 p |
$74 |
| Before 2 |
$39 - 1 p |
6 p |
$74 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$39 |
5 p
($35) |
$74 |
Amount that Cathy had in the end = 5 p
5 p = 35
1 p = 35 ÷ 5 = 7
Working backwards.
Amount that Hilda had after giving to Cathy on Thursday
= 39 - 1 p
= 39 - 7
= $32
4 u = 32
1 u = 32 ÷ 4 = 8
Amount that Hilda had at first
= 5 u
= 5 x 8
= $40
Total amount that Hilda and Cathy had
= 39 + 35
= $74
Amount that Cathy had at first
= 74 - 40
= $34
Amount that Hilda had more than Cathy
= 40 - 34
= $6
Answer(s): $6
