Proportional Reasoning - 2 | IT

Question 1

Viswanath made idlis by mixing 6 cups of rice with 3 cups of urad dal, while Puneet made idlis by mixing 4 cups of rice with 2 cups of urad dal. If cooked in the same way, would their idlis taste the same?

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Solution

We will compare the ratio of rice to urad dal for both Viswanath and Puneet.

Step 1 — Calculate Viswanath's ratio

Viswanath mixes rice and urad dal. We write this as a ratio of rice to urad dal.

RatioViswanath=Cups of riceCups of urad dal\text{Ratio}_{\text{Viswanath}} = \frac{\text{Cups of rice}}{\text{Cups of urad dal}}

=63= \frac{6}{3}

2\boxed{2}

This means Viswanath uses 2 parts rice for every 1 part urad dal.

Step 2 — Calculate Puneet's ratio

Puneet also mixes rice and urad dal. We write this as a ratio of rice to urad dal.

RatioPuneet=Cups of riceCups of urad dal\text{Ratio}_{\text{Puneet}} = \frac{\text{Cups of rice}}{\text{Cups of urad dal}}

=42= \frac{4}{2}

2\boxed{2}

This means Puneet uses 2 parts rice for every 1 part urad dal.

Step 3 — Compare the ratios

We compare the two ratios. Viswanath's ratio of rice to urad dal is 2. Puneet's ratio of rice to urad dal is 2. The ratios are equal. So, their idlis would taste the same.

Answer

Yes, their idlis would taste the same.

More questions in IT

Q1

Viswanath made idlis by mixing 6 cups of rice with 3 cups of urad dal, while Puneet made idlis by mixing 4 cups of rice with 2 cups of urad dal. If cooked in the same way, would their idlis taste the same?

Q2

Have you noticed that in many maps there is a ratio given, usually in the lower right corner of the map? It usually contains 1 and a very large number, such as 1 : 60,00,000. What does RF 1 : 60,00,000 mean? What does it indicate? Can you guess?

Q3

Convert 60,00,000 cm to kilometres.

It is 60 km. Verify this.

Q4

Using the map above, can you find the geographical distance between Bengaluru and Chennai? Also, find the geographical distance between Mangaluru and Chennai.

[Hint: Use a ruler to find the distance between the cities on the map. Then, use the ratio given on the map to find the actual geographical distance.]

Q5

Try to find the distances between the same two pairs of cities with different maps that have different scales (ratios). Do they all give the same geographical distance, approximately?

Q6

Context: Puneeth's father went from Lucknow to Kanpur in 3 hours by riding his motorcycle at a speed of 30 km/h. If he takes a car instead and drives at 60 km/h, how long will it take him to reach Kanpur?

Q. Can we represent this problem with the following statement of proportionality — 30 : 60 :: 3 : x? Will the travel time increase or decrease as the speed of the motorcycle increases?

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