Question

chloe has 42 oranges 24 apples and 18 bananas to put into fruit baskets each fruit will be divided equally so each basket will have the same number of oranges the same number of apples and the same number of bananas what is the fruit baskets can be made

Answer 1

We want to calculate the number of baskets to which chloe can make.

Note that we have 42 oranges, 24 apples and 18 bananas, and since we are splitting them into the number of baskets, it must happen that the each number is a multiple of the number of baskets.

We will check each option to find out if the numbers are a multiple of the number. Then we will take the greatest to number to which all of them are a multiple.

Case 2: Note that 42= 21*2, 24=12*2 and 18 = 9*2 so all of them are multiples of 2.

So, so far the greatest number is 2.

Case 3:

Note that 42 = 3*14, 24 = 8*3 and 18 = 6*3. So all of them are multiples of 3.

So, so far the greatest number is 3.

Case 6:

Note that 42 = 6*7, 24 = 6*4 and 18 = 6*3. So all of them are multiples of 3. So, so far the greatest number is 6.

Case 8:

Note that 24=8*3. But neither 18 o 42 are multiples of 8. So, this can't be an option.

So, this means that the most number of fruit baskets Chole can make is 6, since 6 divides evenly all three numbers (42,24 and 18)