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The Dairy Farm - The Dairy Farm

Grade 5CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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Units of Capacity: Milk production is measured in Litres (LL) and Millilitres (mLmL). Remember that 1L=1000mL1 L = 1000 mL.

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Total Production: To find the total milk produced by multiple cows, we multiply the quantity given by one cow by the total number of cows: Total=Quantity per cow×Number of cows\text{Total} = \text{Quantity per cow} \times \text{Number of cows}.

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Time-based Calculations: Calculating milk production over different periods such as a week (77 days), a month (3030 or 3131 days), or a year (365365 days).

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Cost and Earnings: The total money earned is calculated by multiplying the total quantity of milk sold by the rate per litre: Earnings=Total Litres×Rate\text{Earnings} = \text{Total Litres} \times \text{Rate}.

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Division in Distribution: If a certain amount of milk is distributed equally among a number of people or containers, we use division: Quantity per person=Total Quantity÷Number of people\text{Quantity per person} = \text{Total Quantity} \div \text{Number of people}.

📐Formulae

1 Litre(L)=1000 Millilitres(mL)1 \text{ Litre} (L) = 1000 \text{ Millilitres} (mL) LIGHT

Total Milk=Milk per animal×Number of animals\text{Total Milk} = \text{Milk per animal} \times \text{Number of animals}

Total Cost=Quantity×Price per unit\text{Total Cost} = \text{Quantity} \times \text{Price per unit}

Daily Production=Monthly ProductionNumber of days in the month\text{Daily Production} = \frac{\text{Monthly Production}}{\text{Number of days in the month}}

💡Examples

Problem 1:

A dairy farm has 1515 cows. If each cow gives 12L12 L of milk every day, how much milk does the farm produce in total in one day?

Solution:

Milk from 11 cow = 12L12 L. Total cows = 1515. Total milk produced = 12×15=180L12 \times 15 = 180 L.

Explanation:

We multiply the milk produced by a single cow by the total number of cows to get the daily production: 12×15=18012 \times 15 = 180

Problem 2:

The farm sells milk at Rs 4545 per litre. If the farm produces 180L180 L of milk in a day, what is the total daily income?

Solution:

Total daily income = 180×45=Rs 8100180 \times 45 = \text{Rs } 8100.

Explanation:

We calculate the total earnings by multiplying the quantity of milk by the rate per litre: 180×4590072008100\begin{array}{r} 180 \\ \times 45 \\ \hline 900 \\ 7200 \\ \hline 8100 \end{array}

Problem 3:

A cow gives 25000mL25000 mL of milk in a week. How many litres of milk does it give per day?

Solution:

Total milk in a week = 25000mL=25L25000 mL = 25 L. Milk per day = 25÷7≈3.57L25 \div 7 \approx 3.57 L. For a simple grade 5 calculation, if it was 28000mL28000 mL in a week: 28L÷7=4L28 L \div 7 = 4 L per day.

Explanation:

First, convert millilitres to litres: 280001000=28L\frac{28000}{1000} = 28 L. Then divide by the number of days in a week (77): 28÷7=4L28 \div 7 = 4 L