The Nutty Shoppe has 10 kg of mixed pecans and cashews which sell for $8.40 per kilogram. Cashews alone sell for $8 per kilogram, and pecans sell for $9 per kilogram. How many kilograms of pecans are there in the mix?@ßαbчღ @Nurali

Question

The Nutty Shoppe has 10 kg of mixed pecans and cashews which sell for $8.40 per kilogram. Cashews alone sell for $8 per kilogram, and pecans sell for $9 per kilogram. How many kilograms of pecans are there in the mix?@ßαbчღ  @Nurali

nurali · Answer

The total mixture sells for 10 x $8.40 = $84

Let the weight of cashews in the mix = C

Then the weight of pecans in the mix = 10 - C

8C + 9(10 - C) = 84

90 - C = 84

C = 6

There are 6 kilograms of cashews in the mix.