<h3>
Answer: There was $30 on Ginny's gift card.</h3>
Step-by-step explanation: Let us assume amount of gift card = $x.
Mother gave cash amount = $25.
Total amount Ginny had including gift card = x+25.
She spent 2/5 of the gift cards, that is 2/5 of x that is 2/5 x.
Another spent amount on the card= $15.
Remaining amount of card = x - 2/5x -15 .
Total amount she had after getting $25 cash from mother = x - 2/5x -15 + 25
= x-2/5x +10.
She spent 1/2 of (x-2/5x +10).
So, the remaining amount = $14.
Therefore,
![\frac{1}{2}(x-\frac{2}{5}x+10)=14](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28x-%5Cfrac%7B2%7D%7B5%7Dx%2B10%29%3D14)
Multiplying both sides by 2, we get
![2 \times \frac{1}{2}(x-\frac{2}{5}x+10)=2 \times 14](https://tex.z-dn.net/?f=2%20%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%28x-%5Cfrac%7B2%7D%7B5%7Dx%2B10%29%3D2%20%5Ctimes%2014)
![(x-\frac{2}{5}x+10)=28](https://tex.z-dn.net/?f=%28x-%5Cfrac%7B2%7D%7B5%7Dx%2B10%29%3D28)
Multiplying each term by 5 to get rid 5 denominator.
5 \times (x-\frac{2}{5}x+10) = 5 \times 28.
5x -2x +50 = 140
3x +50 = 140.
Subtracting 50 from both sides, we get
3x +50-50 = 140-50
3x= 90
Dividing both sides by 3, we get
3x/3 = 90/3
x = 30.
<h3>Therefore, there was $30 on Ginny's gift card.</h3>