Mrs Soh gave Erika and Nicole some money each on Thursday. On Friday, Erika gave
16 of the amount she had to Nicole. On Saturday, Nicole gave
13 of the amount she had to Erika. In the end, Erika had $58 and Nicole had $16. How much did Nicole had more than Erika at first?
|
Erika |
Nicole |
Total |
Before 1 |
6 u |
? |
$74 |
Change 1 |
- 1 u |
+ 1 u |
|
After 1 |
5 u |
3 p |
$74 |
Before 2 |
$58 - 1 p |
3 p |
$74 |
Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$58 |
2 p ($16) |
$74 |
Amount that Nicole had in the end = 2 p
2 p = 16
1 p = 16 ÷ 2 = 8
Working backwards.
Amount that Erika had after giving to Nicole on Friday
= 58 - 1 p
= 58 - 8
= $50
5 u = 50
1 u = 50 ÷ 5 = 10
Amount that Erika had at first
= 6 u
= 6 x 10
= $60
Total amount that Erika and Nicole had
= 58 + 16
= $74
Amount that Nicole had at first
= 74 - 60
= $14
Amount that Erika had more than Nicole
= 60 - 14
= $46
Answer(s): $46