7. Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each fruit in each basket. How many PEARS will be in the greatest number of fruit baskets

To solve the problem, we need to create the greatest number of baskets possible while keeping the number of oranges and pears the same in each basket. Peter has 18 oranges and 27 pears. This means that the number of baskets must be a common divisor of both 18 and 27. To maximize the number of baskets, we want the greatest number of baskets (which corresponds to finding the greatest common divisor, or GCD, of 18 and 27). Step 1. Find the GCD of 18 and 27.   Factors of 18: 1, 2, 3, 6, 9, 18   Factors of 27: 1, 3, 9, 27   The greatest common factor is 9. Step 2. Divide the fruits equally into 9 baskets.   Oranges per basket = 18 ÷ 9 = 2   Pears per basket = 27 ÷ 9 = 3 Thus, in the greatest number of fruit baskets (9 baskets), each basket will have 3 pears.