Question

this is the question

Answer 1

Question:-

A big basket of fruits contains only apple and oranges. If the ratio of apples to orange is 2:3 and there are 50 fruits in the total, find the number of apples and oranges. Since the ratio of apple to oranges 2:3 , what fraction of the total number of fruits is the number of apples ?

Answer :-

Given :-

• Ratio of apple and oranges are in ratio 2:3.
• Total fruits are 50.

To find :-

• Number of oranges and apple.
• Fraction of number of apple.

Let :-

• Assume that number of apple and oranges are x.

So, according to the question:-

$\large{\mathtt{\implies{2x + 3x = 50}}}$

${\mathtt{\implies{5x = 50}}}$

$\\ {\mathtt{\implies{x = \frac{50}{5} }}}$

$\large{ \color{green}{\mathtt{\implies{x = 10}}}}$

So, number of apples are ,

${\mathtt{\implies{2x}}} \\ \: \: \: \: \: \: \: \: {\mathtt{\implies{2 \times 10}}} \\ { \boxed{{ \color{red}{\mathtt{\implies{20 \: apples}}}}}}$

Number of oranges are

${\mathtt{\implies{3x}}} \\ \: \: \: \: \: \: \: \: {\mathtt{\implies{3 \times 10}}} \\ { \boxed{{ \color{red}{\mathtt{\implies{30 \: oranges}}}}}}$

- Fraction of the total number of fruits is the number of apples are :-

$\\ \large{\mathtt{Fraction = \frac{Part}{Whole} }}$

$\\ \large{\mathtt{Fraction = \frac{20}{50} }}$

$\boxed{ \color{red</strong><strong>}</strong><strong>{</strong><strong>\large{\mathtt{Fraction = \frac{2}{5} }}}</strong><strong>}</strong><strong>$

So, there are 20 apples and 30 oranges in basket and Fraction of the total number of fruits is the number of apples are ⅖.

Answer 2

Answer:

GIVEN :-

• Ratio of apple and oranges are in the ratio of 2:3.
• Total fruits ➛ 50

To find :-

1. Number of oranges and apple.

$\large\tt \blue{\fbox{required \: answer}}$

• Let number of apple and oranges are x.

$\large\blue{\mathtt{\implies{2x + 3x = 50}}}$

${\mathtt{\implies{5x = 50}}}$

$\begin{gathered}\\ {\mathtt{\implies{x = \frac{50}{5} }}}\end{gathered}$

$\large{ \color{green}{\mathtt{\implies{x = 10}}}}$

So, number of apples are ,

$\begin{gathered}{\mathtt{\implies{2x}}} \\ \: \: \: \: \: \: \: \: {\mathtt{\implies{2 \times 10}}} \\ { \boxed{{ \color{green}{\mathtt{\implies{20 \: apples}}}}}}\end{gathered}$

• Number of oranges are

$\begin{gathered}{\mathtt{\implies{3x}}} \\ \: \: \: \: \: \: \: \: {\mathtt{\implies{3 \times 10}}} \\ { \boxed{{ \color{purple}{\mathtt{\implies{30 \: oranges}}}}}}\end{gathered}$

• Now,

$\begin{gathered}\\ \large{\mathtt{Fraction = \frac{Part}{Whole} }}\end{gathered}$

$\begin{gathered}\\ \large{\mathtt{Fraction = \frac{20}{50} }}\end{gathered}$

$\boxed{ \color{pink}{\large{\mathtt{Fraction = \frac{2}{5} }}}}$

• So, there are 20 apples and 30 oranges in basket and Fraction of the total number of fruits is the number of apples are ⅖.