Callie is starting a fruit basket business. the largest fruit basket will contain 30 pieces of fruit. other baskets may contain fewer, but at least 12 piece of fruit. in every basket, 1/2 of the pieces of fruit must be apples, 1/3 must be oranges, and 1/6 must be bananas. what combinations of pieces of fruit represent all the possible fruit baskets callie can make?

In the first basket, Callie can make 15 apples, 10 oranges and 5 bananas.

In the second basket, she can make 12 apples, 8 oranges and 4 bananas and

in the third basket, she can make 9 apples, 6 oranges and 3 bananas.

Step-by-step explanation:

The largest basket contains 30 pieces of fruit. So, it contains

1/2 of 30 = 15 apples

1/3 of 30 = 10 oranges and

1/6 of 30 = 5 bananas.

The second and third baskets should contain at least 12 pieces and at most 30 pieces (since the largest basket contains 30 pieces). Also, the number should be divided by 2, 3 and 6. So, it must be a multiple of 6.

Clearly, the number of multiples of 6 between 12 and 30 are 18 and 24.

Hence, the second basket contains 24 pieces of fruits and it contains

1/2 of 24 = 12 apples

1/3 of 24 = 8 oranges and

1/6 of 24 = 4 bananas

The third basket contains 18 pieces of fruits and it contains

1/2 of 18 = 9 apples

1/3 of 18 = 6 oranges and

1/6 of 18 = 3 bananas.

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

the answer is 1/4

step-by-step explanation: