Mrs Sih gave Victoria and Yen some money each on Thursday. On Friday, Victoria gave
15 of the amount she had to Yen. On Saturday, Yen gave
16 of the amount she had to Victoria. In the end, Victoria had $31 and Yen had $15. How much did Yen had more than Victoria at first?
| |
Victoria |
Yen |
Total |
| Before 1 |
5 u |
? |
$46 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
6 p |
$46 |
| Before 2 |
$31 - 1 p |
6 p |
$46 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$31 |
5 p
($15) |
$46 |
Amount that Yen had in the end = 5 p
5 p = 15
1 p = 15 ÷ 5 = 3
Working backwards.
Amount that Victoria had after giving to Yen on Friday
= 31 - 1 p
= 31 - 3
= $28
4 u = 28
1 u = 28 ÷ 4 = 7
Amount that Victoria had at first
= 5 u
= 5 x 7
= $35
Total amount that Victoria and Yen had
= 31 + 15
= $46
Amount that Yen had at first
= 46 - 35
= $11
Amount that Victoria had more than Yen
= 35 - 11
= $24
Answer(s): $24
