Question

A basket contains some apples and oranges.
5/12 of the fruits are apples.
There are 10 apples.
How many apples and oranges are there altogether?​answer in step by step....​

Answer 1

Step-by-step explanation:

Whenever it is not explicity mentioned that fruit and distint, We take them as identical. 0 or more orange can be selected from 4 identical oranges in (4+1)=5 ways. 0 or more apples can be selected from 5 identical apples in (5+1)=6 ways.

0 or more mangoes can be selected from 6 identical mangoes in 7 ways.

∴ Total no. of ways in which all of three types of fruits can be selected (the no. of any type of fruits may also be 0),

5×6×7=210,

But in these 20 selection, there is one selection where all fruits are 0, hence we reduce 1 selection.

∴ the required no. =210−1=209

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Answer 2

There are 24 apples and oranges altogether

Given :

• A basket contains some apples and oranges.

• 5/12 of the fruits are apples.

• There are 10 apples.

To find :

Number of apples and oranges altogether

Solution :

Step 1 of 2 :

Form the equation to calculate number of apples and oranges altogether

Let number of apples and oranges altogether = x

Since 5/12 of the fruits are apples

∴ Number of apples = 5x/12

There are 10 apples

By the given condition

$\displaystyle \sf \frac{5x}{12} = 10$

Step 2 of 2 :

Calculate number of apples and oranges altogether

$\displaystyle \sf \frac{5x}{12} = 10$

$\displaystyle \sf{ \implies }x = 10 \times \frac{12}{5}$

$\displaystyle \sf{ \implies }x = 24$

Hence number of apples and oranges altogether is 24

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