Question

The class XI students of school wanted to give a farewell party to the outgoing students of class XII. They decided to purchase two kinds of sweets, one costing Rs. 250 per kg and other costing Rs. 350 per kg. They estimated that 40 kg of sweets were needed. If the total budget for the sweets was Rs. 11,800; find how much sweets of each kind were bought ?

Answer 1

Assume x kg of the first kind costing Rs. 250 per kg and y kg of the second kind costing Rs. 350 per kg sweets were bought.

It is estimated that 40 kg of sweets were needed.
⇒ x + y = 40                        ....(1)

The total budget for the sweets was Rs. 11,800.
⇒ 250x + 350y = 11,800     ....(2)

Multiply equation (1) by 250, We get :
250x + 250y = 10,000        .....(3)

Subtracting equation (2) from (3),
        250x + 250y = 10,000
   -    250x + 350y = 11,800   
        -       -             -               
                - 100y = - 1800
                       y = 18
Substituting y = 18 in equation (1), We get
x + 18 = 40
⇒ x = 22
∴ 22 kgs of the first kind costing Rs. 250 per kg and 18 kgs of the second kind costing Rs. 350 per kg sweets were bought.