Mrs Oh gave Gwen and Jaslyn some money each on Wednesday. On Thursday, Gwen gave
16 of the amount she had to Jaslyn. On Friday, Jaslyn gave
14 of the amount she had to Gwen. In the end, Gwen had $55 and Jaslyn had $15. How much did Jaslyn had more than Gwen at first?
| |
Gwen |
Jaslyn |
Total |
| Before 1 |
6 u |
? |
$70 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
5 u |
4 p |
$70 |
| Before 2 |
$55 - 1 p |
4 p |
$70 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$55 |
3 p
($15) |
$70 |
Amount that Jaslyn had in the end = 3 p
3 p = 15
1 p = 15 ÷ 3 = 5
Working backwards.
Amount that Gwen had after giving to Jaslyn on Thursday
= 55 - 1 p
= 55 - 5
= $50
5 u = 50
1 u = 50 ÷ 5 = 10
Amount that Gwen had at first
= 6 u
= 6 x 10
= $60
Total amount that Gwen and Jaslyn had
= 55 + 15
= $70
Amount that Jaslyn had at first
= 70 - 60
= $10
Amount that Gwen had more than Jaslyn
= 60 - 10
= $50
Answer(s): $50
