A box contained fruits such as apples, oranges and pears. 3/5 of the fruits were apples. 1/4 of the remaining fruits were oranges and the rest were pears. If there were 60 pears in the box, how many oranges were there?
clearly there were 3 times as many pears as oranges. So, 20 oranges.
To find the number of oranges, we need to first determine the total number of fruits in the box.
We are given that 3/5 of the fruits are apples. This means that 2/5 of the fruits are not apples.
Let's represent the total number of fruits as 'T'. Therefore, the number of fruits that are not apples can be calculated as (2/5) * T.
Now, we are given that 1/4 of the remaining fruits are oranges. This means that 3/4 of the remaining fruits are pears.
We know that there are 60 pears in the box, so we can set up the equation (3/4) * (2/5) * T = 60 to solve for T.
Let's solve the equation step by step:
(3/4) * (2/5) * T = 60
Multiplying the fractions: (6/20) * T = 60
Multiplying both sides by 20/6: T = (60 * 20) / 6
Calculating: T = 200
Therefore, the total number of fruits in the box is 200.
Now, to find the number of oranges, we can substitute the value of T into the equation:
(1/4) * (2/5) * 200 = (1/2) * 40 = 20
Therefore, there are 20 oranges in the box.