Samantha has 150 caramel apples to sell. Each caramel apple is covered with one topping.

Question

⅓ of the caramel apples are covered with peanuts.
⅙ are covered with chocolate chips.
⅕ are covered with coconut.
The rest is covered with sprinkles.

How many caramel apples are covered with sprinkles?

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Answer 1

To find out how many caramel apples are covered with sprinkles, we first need to calculate the number of apples covered with peanuts, chocolate chips, and coconut.

1. Calculate the number of caramel apples covered with peanuts: \[ \text{Peanuts} = \frac{1}{3} \times 150 = 50 \]

2. Calculate the number of caramel apples covered with chocolate chips: \[ \text{Chocolate chips} = \frac{1}{6} \times 150 = 25 \]

3. Calculate the number of caramel apples covered with coconut: \[ \text{Coconut} = \frac{1}{5} \times 150 = 30 \]

4. Now, we will find the total number of caramel apples covered with the three toppings: \[ \text{Total covered with toppings} = \text{Peanuts} + \text{Chocolate chips} + \text{Coconut} \] \[ = 50 + 25 + 30 = 105 \]

5. Next, we will determine how many caramel apples are covered with sprinkles by subtracting the total covered with other toppings from the total number of apples: \[ \text{Sprinkles} = \text{Total caramel apples} - \text{Total covered with toppings} \] \[ = 150 - 105 = 45 \]

Thus, the number of caramel apples covered with sprinkles is \( \boxed{45} \).