Ms. Leong owned an ice cream store and had chocolate and vanilla ice cream for sale. She sold 3/4 of the chocolate ice cream and 1/2 of the vanilla ice cream. If she had 20 scoops of chocolate ice cream and 30 scoops of vanilla ice cream left, how many scoops of ice cream did Ms. Leong have altogether at first?

Answer: 140 scoops.

Step-by-step 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.

The answer is 140 scoops of ice cream total.