In a restaurant, the cost of providing a particular typeof food is partly constant and partly inverselyproportional to the number of people. If the cost perhead for 100people is 30k and the cost for 40 people is60k, find the cost for 50people*15k4520k50k40k
Question
In a restaurant, the cost of providing a particular typeof food is partly constant and partly inverselyproportional to the number of people. If the cost perhead for 100people is 30k and the cost for 40 people is60k, find the cost for 50people*15k4520k50k40k
Solution 1
To find the cost for 50 people, we can use the given information about the cost per head for 100 people and 40 people.
Let's first find the constant cost. We know that the cost per head for 100 people is 30k, so the total cost for 100 people would be 30k * 100 = 3000k.
Next, let's find the inversely proportional cost. We know that the cost for 40 people is 60k. This means that the cost per head for 40 people would be 60k / 40 = 1.5k.
Now, we can find the total cost for 50 people. Since the cost is inversely proportional to the number of people, we can use the formula: cost per head * number of people = total cost.
Using the cost per head for 40 people (1.5k), we can calculate the cost for 50 people: 1.5k * 50 = 75k.
Therefore, the cost for 50 people would be 75k.
Solution 2
To find the cost for 50 people, we can use the given information about the cost per head for 100 people and 40 people.
Let's first find the constant cost. We know that the cost per head for 100 people is 30k, so the total cost for 100 people would be 30k * 100 = 3000k.
Next, let's find the inversely proportional cost. We know that the cost for 40 people is 60k. This means that the cost per head for 40 people would be 60k / 40 = 1.5k.
Now, we can find the total cost for 50 people. Since the cost is inversely proportional to the number of people, we can use the formula: cost per head * number of people = total cost.
Using the cost per head for 40 people (1.5k), we can calculate the cost for 50 people: 1.5k * 50 = 75k.
Therefore, the cost for 50 people would be 75k.
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