Mrs Ang gave Ivory and Hazel some money each on Monday. On Tuesday, Ivory gave
14 of the amount she had to Hazel. On Wednesday, Hazel gave
13 of the amount she had to Ivory. In the end, Ivory had $31 and Hazel had $8. How much did Hazel had more than Ivory at first?
| |
Ivory |
Hazel |
Total |
| Before 1 |
4 u |
? |
$39 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
3 u |
3 p |
$39 |
| Before 2 |
$31 - 1 p |
3 p |
$39 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$31 |
2 p
($8) |
$39 |
Amount that Hazel had in the end = 2 p
2 p = 8
1 p = 8 ÷ 2 = 4
Working backwards.
Amount that Ivory had after giving to Hazel on Tuesday
= 31 - 1 p
= 31 - 4
= $27
3 u = 27
1 u = 27 ÷ 3 = 9
Amount that Ivory had at first
= 4 u
= 4 x 9
= $36
Total amount that Ivory and Hazel had
= 31 + 8
= $39
Amount that Hazel had at first
= 39 - 36
= $3
Amount that Ivory had more than Hazel
= 36 - 3
= $33
Answer(s): $33
