Question

Rachel is making fruit baskets. She has 24 apples and 32 oranges. Rachel wants to make all of the fruit baskets identical without having any pieces left over. What is the greatest number of fruit basket Rachel can make?

A) 56
B) 48
C) 24
D) 32

Answer 1

The greatest number of identical fruit baskets Rachel can make with 24 apples and 32 oranges is 8 by finding the greatest common divisor (GCD) of 24 and 32, which is 8.

Step-by-step explanation:

Rachel is making fruit baskets with 24 apples and 32 oranges and wants them to be identical without any fruits left over. To find the greatest number of fruit baskets she can make, we need to find the greatest common divisor (GCD) of 24 and 32. The GCD of 24 and 32 is 8, which means Rachel can make 8 fruit baskets with an identical number of fruits in them.

Each fruit basket would then contain 3 apples (24 apples ÷ 8) and 4 oranges (32 oranges ÷ 8). Therefore, the answer is C) 24 because she can make the greatest number of identical fruit baskets by dividing the fruits into 8 baskets.