10. At the end of the day, Mandy sold the rest of her hot dogs at her hot dog stand for half price. 50

She sold 24 hot dogs at half price which meant she sold all of her hot dogs that day. If she sold

30% of her hot dogs at half price, how many hot dogs did she sell at full price that day?

56

Step-by-step explanation:

Firstly, we know she sold 24 hot dogs at half price. We do not know the total number of hot dogs.

Secondly, we know that 30% of the hot dogs were sold at half of the price. This means 70% were sold at full price.

Now there are two approaches to this. I'm going to take the easier one.

What we are expressing mathematically is that 30% of a certain number equals 24. Let the total number of hot dogs she had that day at her stand be x.

This mean 30% of x = 24.

30/100 * x = 24

30x = 24 * 100

30x = 2,400

x = 2,400/30 = 80.

This means she had a total of 80 hot dogs that day. Since we know the number she sold at half price, it's now easy to calculate the number she sold at full price.

This number now equals 80 - 24 = 56 hot dogs.

This mean Mandy sold 56 hot dogs at full price.