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? @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

Answer 1

C kg Cashews, P kg pecans
C + P = 10 (solving for C is C=10-P)
$8.40/kg * 10 kg = $84
8 * C + 9 * P = 84
8 * (10 - P) + 9 * P = 84 (substituting in C=10-P)
80 - 8 * P + 9 * P = 84 (rearrange)

P = 84 - 80 = 4 kg pecans
and therefore 6 kg of cashews
check:
8 * C + 9 * 4 = 84
8 * C + 36 = 84
8 * C = 48
C = 6