Mrs Lee gave Vanessa and Gwen some money each on Tuesday. On Wednesday, Vanessa gave
16 of the amount she had to Gwen. On Thursday, Gwen gave
15 of the amount she had to Vanessa. In the end, Vanessa had $12 and Gwen had $8. How much did Gwen had more than Vanessa at first?
| |
Vanessa |
Gwen |
Total |
| Before 1 |
6 u |
? |
$20 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
5 u |
5 p |
$20 |
| Before 2 |
$12 - 1 p |
5 p |
$20 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$12 |
4 p
($8) |
$20 |
Amount that Gwen had in the end = 4 p
4 p = 8
1 p = 8 ÷ 4 = 2
Working backwards.
Amount that Vanessa had after giving to Gwen on Wednesday
= 12 - 1 p
= 12 - 2
= $10
5 u = 10
1 u = 10 ÷ 5 = 2
Amount that Vanessa had at first
= 6 u
= 6 x 2
= $12
Total amount that Vanessa and Gwen had
= 12 + 8
= $20
Amount that Gwen had at first
= 20 - 12
= $8
Amount that Vanessa had more than Gwen
= 12 - 8
= $4
Answer(s): $4
