Maths-

General

Easy

Question

# At a school camp there is enough food for 150 students for 5 days. a) How long would the food last if there were only 100 students? b) If the food ran out after only 4 days, how many students attended the camp?

Hint:

**Hint:**

In a proportional relationship, the variables are related by a constant ratio(k). For example, the equation which can relate the two variables can be written in the form:

y = (constant) × x or y = k × x.

So, for solving these types of questions we need to create a proportional relationship between the variables. These relationships can be direct, inverse etc.

## The correct answer is: 187

### Let the number of days be represented as x and the number of students be represented as y. The number of days will decrease if the number of students are increased so we can conclude that y is in inverse relationship with x. Let’s say the proportional relationship is given as

y = ……..(1)

It is given that there is enough food for 150 students for 5 days i.e. x = 5 and y = 150. Putting the values in equation (1)

150 =

k = 150 × 5 = 750

a)

We are asked to find the number of days the food will last if there are 100 students. So, y = 100 and we need to find x. Putting the values in equation (1)

100 =

Now, put the value of k = 750

d =

d = 7.5 days

Final Answer:

Hence, the food will last for 7.5 days if there are 100 students.

b)

We are asked to find the number of students if the food lasts for 4 days. So, x = 4 and we need to find y. Putting the values in equation (1)

y =

Now, put the value of k = 750

y =

y = 187.5 = 187 students

(Number of Students can’t be students)

Final Answer:

Hence, if the food lasts for 4 days, the number of students will be 187.

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