1/3 of the 6 dozen fruits in a fruit seller's cart are apples.If 1/4 of all the fruits are oranges and the rest of the fruits are bananas,find how many dozen of bananas are there in a fruit seller's cart?
1 / 3 of 6 dozen fruits are apples means:
1 / 3 ∙ 6 = 6 / 3 = 2 dozen apples
1 / 4 of all the fruits are oranges means:
1 / 4 ∙ 6 = 6 / 4 = 2 ∙ 3 / 2 ∙ 2 = 3 / 2 = 1.5 dozen oranges
The rest of the fruits are bananas means:
6 dozen fruits - 2 dozen apples - 1.5 dozen oranges are bananas.
6 - 2 - 1.5 = 2.5 dozen bananas
To find the number of dozen bananas in the fruit seller's cart, we can calculate the number of dozen apples and oranges first and then subtract it from the total number of dozen fruits.
Given:
- 1/3 of the 6 dozen fruits are apples
- 1/4 of all the fruits are oranges
First, let's find the number of dozen apples:
1/3 of 6 dozen is (1/3) * 6 = 2 dozen apples.
Next, let's find the number of dozen oranges:
1/4 of all the fruits is (1/4) * 6 dozen = 1.5 dozen oranges.
Now, let's find the total number of dozen fruits:
6 dozen fruits - (2 dozen apples + 1.5 dozen oranges) = 6 - 2 - 1.5 = 2.5 dozen.
Therefore, there are 2.5 dozen bananas in the fruit seller's cart.