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To celebrate "Diversity in India" school organized the competition for class IX students on the preparation of different food items from the different parts of country. Ana and Soham also participated in competition and chosen South Indian "Idli" to prepare. Ana told Soham that she has taken urad dal and rice as raw material for preparation of Idli in ratio 1 : 3.
On the basis of above information answer the following questions.
(a) Frame the linear equation of the above situation.
(b) How many numbers of cups of rice needed for 3 cups of urad dal?
(c) How many cups of urad dal used in 40 cups of batter?



Answer :

Answer:

(a) Let

x represent the number of cups of urad dal and

y represent the number of cups of rice used. According to Ana's ratio of 1:3 for urad dal to rice, the linear equation representing this situation is

=

3

y=3x.

(b) To find out how many cups of rice are needed for 3 cups of urad dal, we can use the ratio given by Ana, which is 1:3. So, if we have 3 cups of urad dal, we would need

3

×

3

=

9

3×3=9 cups of rice.

(c) If 40 cups of batter are needed, and the ratio of urad dal to rice is 1:3, then we can first find out the amount of urad dal used. Since 1 part urad dal corresponds to 1+3=4 parts (1 urad dal + 3 rice) of the batter, we divide 40 by 4 to find out the number of cups of urad dal used:

40

4

=

10

4

40

​

=10 cups of urad dal.

Step-by-step explanation:

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