Question

How many kg of basmati rice worth 96 per kg should be mixed with 15 kg of basmati rice worth 80 per kg to obtain a mixture costing 90 per kg?

Answer 1

Answer:

let x be the amount of basmati rice worth 96 per kg required

therefore, total cost of basmati rice worth 96 per kg = cost per kg ×weight

= 96×x=96x

now, cost of 15 kg of basmati rice worth 80 per kg = 80×15=1200

we can say that, cost of x kgs of basmati rice worth 96 per kg + cost of basmati rice worth 80 per kg = cost of 15+x kgs of basmati rice worth 90 per kg

=> 96x + 1200 = 90(15+x)

=>96x + 1200 = 1350 + 90x

=> 96x - 90x = 1350 - 1200

=> 6x = 150

=> x = 150/6 = 25kgs