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?

hintHint:

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 = k over x  ……..(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 over 5
    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 = k over x
    Now, put the value of k = 750
    d = 750 over 100
    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 = k over 4
    Now, put the value of k = 750
    y = 750 over 4
    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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