Respuesta :
Answer: There was $30 on Ginny's gift card.
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,
[tex]\frac{1}{2}(x-\frac{2}{5}x+10)=14[/tex]
Multiplying both sides by 2, we get
[tex]2 \times \frac{1}{2}(x-\frac{2}{5}x+10)=2 \times 14[/tex]
[tex](x-\frac{2}{5}x+10)=28[/tex]
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.
