Question

You are buying fruit to make fruit baskets. Apples come in bags of 20. Oranges come in bags of 16, and bananas come in bags of 32.

1) You have one bag of each fruit. Each fruit basket must be identical.



a) What is the greatest number of fruit baskets that you can make using all of the fruit?




b) How many of each type of fruit are in each fruit basket in part (a)?




2) You decide that not only must the fruit baskets be identical, but each one must have the same numbers of apples, oranges, and bananas.



a) What is the least number of bags of each fruit you need to have the same number of apples, oranges, and bananas?



b) How many of each type of fruit do you have?



c) There must be at least 5 but no more than10 of each type of fruit in each basket. How many different ways can you arrange the fruit baskets when using all of the fruit? Explain your reasoning.

Answer 1

1) 3

2) 8

3)

4) 5

5) 20 apples 16 orangs and 31 bananas

6)

Explanation: