Question

A farmer wishes to distribute 153 oranges and 102 bhavesh into baskets of equal size that will contain each of the above in equal number.find the minimum number of baskets required.how many fruits will be there in each basket

Answer 1

Answer:

51 baskets

5 fruits in each basket.

Step-by-step explanation:

To answer this question we need to get the GCD of the two numbers.

GCD of 153 and 102.

153 = 3 × 3 × 17

102 = 2 × 3 × 17

The GCD is given by :

3 × 17 = 51

The number of baskets that we will need are 51.

We need to get how many of each fruit will be in the baskets.

We have :

For the oranges :

153/51 = 3

Each bag will contain 3 oranges.

For the bhavesh :

Each basket will contain :

102/51 = 2

Each basket will contain 2 bhavesh.

The total number of fruits n each basket will be :

2 + 3 = 5 fruits in each basket.

Answer 2

Answer:

3 Baskets

85 fruits in each basket

or

5 Basket

51 fruits in each basket

Step-by-step explanation:

A farmer wishes to distribute 153 oranges and 102 bhavesh into baskets of equal size that will contain each of the above in equal number.

Oranges = 153 = 3 * 3 * 17

Bhavesh = 102 = 2 * 3 * 17

HCF = 3 * 17 = 51

Smallest common factor other than 1 = 3

We can have 3 Baskets

Then 51 Oranges  + 34 Bhavesh in one basket

Total Fruits in one basket = 51 + 34 = 85

or if we put equal fruits in each basket individually

then 3 basket of 51 oranges

        2 baskets of 51 bhavesh

total 5 Basket

51 fruits in each basket