High School

Ms. Leong sold \(\frac{3}{4}\) of the chocolate ice cream and \(\frac{1}{2}\) of the vanilla ice cream. At the end of the day, she had 20 scoops of chocolate ice cream and 30 scoops of vanilla ice cream left. How many total scoops of ice cream did Ms. Leong have at the start of the day?

Answer :

Final answer:

Ms. Leong had a total of 140 scoops of ice cream at the start of the day. This total is calculated by multiplying the remaining scoops of chocolate ice cream by 4 (which gives you 80) and multiplying the remaining scoops of vanilla ice cream by 2 (which gives you 60). Sum these two amounts to find the total scoops at the start of the day.

Explanation:

To answer this question, let's break down the two types of ice cream individually: chocolate and vanilla. We were told that Ms. Leong sold 3/4 fraction of the chocolate ice cream and still had 20 scoops left over. This means that the 20 scoops left represented the remaining 1/4 of the chocolate ice cream.

So, to find the total scoops of chocolate ice cream at the start of the day, you'd have to multiply 20 by 4. This would give you 80 scoops of chocolate ice cream initially.

For the vanilla ice cream, we know that Ms. Leong sold 1/2 and still had 30 scoops left. These 30 scoops represent the remaining 1/2. So, multiplying 30 by 2 will give us the total scoops of vanilla ice cream at the start of the day, which is 60 scoops.

Adding the total scoops of chocolate and vanilla ice cream gives us 80 + 60 = 140 scoops of ice cream at the start of the day.

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