- Math »
- A Part of Monthly Hostel Charges in a College Hostel are Fixed and the Remaining Depends on the Number of Days One Has Taken Food in the Mess. When a Student A Takes Food for 25 Days, He has to Pay ₹4,500.

# A Part of Monthly Hostel Charges in a College Hostel are Fixed and the Remaining Depends on the Number of Days One Has Taken Food in the Mess. When a Student A Takes Food for 25 Days, He has to Pay ₹4,500.

Find the fixed charges per month and cost of food per day in a College Hostel, with the help of this guide.

by Ashnath Jeba

**Updated **Mar 18, 2024

**A Part of Monthly Hostel Charges in a College Hostel are Fixed and the Remaining Depends on the Number of Days One Has Taken Food in the Mess. When a Student A Takes Food for 25 Days, He has to Pay ₹4,500, Whereas a Student B Who Takes Food for 30 Days, He has to Pay ₹5,200. Find the Fixed Charges Per Month and the Cost of the Food Per Day.**

Here, the College Hostel charges a fixed fee for a month and the students need to pay an extra amount based on the number of days he/she gets food from the mess. So the total payable fee will vary according to the number of days a student took food for the month.

It is given that student “A” is paying ₹4,500 and he is taking food for 25 days. Student “B” is paying ₹5,200 and he is taking food for 30 days. Based on this, we need to find the fixed fee amount for one month and the cost of food per day.

Let’s assume the Fixed charges per month as ‘x’ and Cost of food per day as ‘y’

Then the equation for student “A” would become:

x + 25y = 4,500

The equation for student “B” would become:

x + 30y = 5,200

Let’s solve these equations by subtracting (B - A):

x + 30y - (x + 25y) = 5,200 - 4,500

x +30y - x - 25y = 700

5y = 700

y = 700 / 5

y = 140

So, the cost of food per day is ₹**140.**

Now, if you substitute ‘y = 140’ in any of the equations, you will get the value of ‘x’.

x + 25 (140) = 4,500

x + 3,500 = 4,500

x = 4,500 - 3,500

x = 1,000

So, the fixed charges per month is **₹1,000.**

## A Part of Monthly Hostel Charges in a College Hostel are Fixed- FAQs

1. What does 'x' represent in the equations given here?

'x' represents the fixed charges per month.

2. What does 'y' represent in the equations given here?

'y' represents the cost of food per day.

3. What is the cost of food per day in this math problem?

The cost of food per day is ₹140.

4. What is the fixed charges per month in this math problem?

The fixed charges per month is ₹1,000.

## Recent Updates

- Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevati...
- Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading...
- Aman’s salary is first increased by 25% and then decreased by 20%. The result is the ...
- P and S can complete a piece of work in 20 and 15 days respectively. They worked togeth...
- Each day that a library book is kept past its due date, a $0.30 fee is charged at midni...
- Teri goes shopping for some new clothes and then out to lunch with a friend. She spends...
- Two pipes A and B can fill a tank is 8 minutes and 14 minutes respectively. If both the...
- A and B stand at distinct points of a circular race track of length 135 m. They cycle a...
- The image of a candle flame placed at a distance of 30 cm from a mirror is formed on a ...
- In pea plants, Tall plant height is dominant over short plant height. If there are 200 ...
- A wall of length 10 m was to be built across an open ground. The height of the wall is ...
- A company contracts to paint 3 houses. Mr. Brown can paint a house in 6 days while Mr. ...
- In a forest 20% of Mushrooms are Red, 50% Brown and 30% White. A Red mushroom is poison...
- In a large population, 76% of the households own microwaves. A simple random sample of ...
- A bag contains 8 red marbles, 9 yellow marbles, 7 green marbles. How many additional re...