Answer: 140 scoops.
Explanation:
We know that she sold 3/4 of the chocolate ice cream and 1/2 of the vanilla ice cream. She originally had 20 scoops of chocolate and 30 of vanilla left.
so those 20 scoops of chocolate are 1/4 of the total amount that she had before, then the total amount is equal to 4 times 20 scoops = 80 scoops of chocolate.
We also know that 30 scoops of vanilla are one half of the initial number, so the initial number must be equal to two times 30 scoops = 60 scoops.
Now, adding those numbers we have 60 + 80 = 140 scoops in total at the beginning of the day.