Question

How many kilograms of sweets worth Rs. 110 per kg must be mixed with 30 kg of sweets of Rs. 80 per kg to produce a mixture which costs Rs.100 per kg ?

Answer 1

Let the mass of sweet mixed =x kg
Total mass of new mixture = x+30
Cost of x kg sweet = 110x Rs
Cost of 30 kg sweet = 80*30 = 2400 Rs ,

A/q -

( 110x + 2400 ) = 100(x+30)
110x + 2400 = 100x + 3000
solving this equation we get
x= 60 kg
60 kg sweet worth 110 must be mixed.

Answer 2

Assume x kg of sweets worth Rs.110 per kg

According to question,

110x + 30 ×80 = 100 (x + 30)

110x + 2400 = 100x + 3000

110x - 100x = 3000 - 2400

10x = 600

x = 600/10

x=60

Hence, 60 kg sweets worth Rs.110 per kg must be mixed .

Hope that helps you ! ☺️