Question

A bag contains 20kg of rice and another bag contains 60kg of wheat.Fimd the ratio of the amount of rice to that of wheat?What is the ratio of rice to the total weight? ​

Answer 1

Question:-

A bag contains 20kg of rice and another bag contains 60kg of wheat. Find the ratio of the amount of rice to that of wheat? What is the ratio of rice to the total weight?

Given:-

• Weight of rice = 20 kg.
• Weight of wheat = 60 kg.

To Find:-

• The ratio of the amount of rice to that of wheat and ratio of rice to the total weight.

Solution:-

Thus, rice : wheat = 20 : 60

$\large = \frac{20}{60} = \frac{1 \times{{ \cancel{ 2 0 }}}}{3 \times{{ \cancel{ 20}}}} = \frac{1}{3} = 1 \colon3.$

${ \boxed{ \color{red}\therefore The \: ratio \: of \: the \: amount \: of \: rice \: to \: that \: of \: wheat \: is \: 1 :3. }}$

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Now, rice weight = 20 kg ; wheat weight = 60 kg.

Thus, total weight = 20 + 60 = 80 kg.

So, rice : total weight = 20 : 80.

$\large \frac{20}{30} = \frac{1 \times 20}{4 \times 20} = \frac{1}{4} = 1 \colon4.$

${ \boxed{ \color{red} \therefore The \: ratio \: of \: rice \: to \: the \:total \: weight \:is \: 1 : 4.}}$

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Answers:-

${ \boxed{ \color{red}\therefore The \: ratio \: of \: the \: amount \: of \: rice \: to \: that \: of \: wheat \: is \: 1 :3. }} \\ { \boxed{ \color{red} \therefore The \: ratio \: of \: rice \: to \: the \:total \: weight \:is \: 1 : 4.}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Hope you have satisfied. ⚘