
Harry's Pizza sells cheese pizzas cut into 8 slices each and pepperoni pizzas cut into 4 slices each. If Harry's Pizza sold the same number of slices of each type of pizza yesterday, what is the smallest number of slices of each type that the restaurant must have sold?


To solve this, let’s find the smallest common multiple of the slice counts for each pizza type (8 slices for cheese and 4 slices for pepperoni), because we need an equal number of slices for both.

1. **Identify the slice counts per pizza type:**
   - Cheese pizza: 8 slices.
   - Pepperoni pizza: 4 slices.

2. **Find the Least Common Multiple (LCM):**
   - The LCM of 8 and 4 is 8, as 8 is the smallest number divisible by both 8 and 4.

3. **Determine the number of slices sold:**
   - Since 8 is the LCM, the restaurant must have sold at least 8 slices of each type to have an equal number of slices.

Thus, the smallest number of slices of each type that the restaurant must have sold is **8 slices**.

Would you like more details, or do you have any questions?

### Related Questions:
1. If cheese pizzas were cut into 6 slices, what would be the minimum number of slices sold for both types?
2. What is the least number of cheese pizzas that must have been sold?
3. If Harry’s Pizza sold 16 slices of each type, how many cheese and pepperoni pizzas would that represent?
4. How does changing the slice count per pizza type affect the minimum slices needed?
5. What if Harry’s sold a different number of cheese slices than pepperoni slices? How could we calculate the total pizzas?

### Tip:
For problems with equal portions, finding the LCM of each portion size can quickly determine minimum quantities.

Harry's Pizza sells cheese pizzas cut into 8 slices each and pepperoni pizzas cut into 4 slices each. If Harry's Pizza sold the same number of slices of each type of pizza yesterday, what is the smallest number of slices of each type that the restaurant must have sold?

Discover how to determine the smallest number of pizza slices sold for two types of pizzas with different slice counts. This problem explores the Least Common Multiple (LCM) concept and is suitable for students in Grades 4-6.

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