A candy store sells chocolate-covered almonds for $6.50 a pound and chocolate-covered peanuts for $4.00 per pound. The manager decides to make a bridge mix that combines the almonds with the peanuts. She wants the bridge mix to sell for $6.00 per pound, and there should be no loss in revenue from selling the bridge mix versus the almonds and peanuts alone. How many pounds of chocolate-covered almonds and chocolate-covered peanuts are required to create 50 pounds of this bridge mix?
Please show work and explain to me what I need to plug in where. Thanks!

Relax

Respuesta :

irspow
(6.5a+4p)/50=6 and a+p=50, p=50-a so

(6.5a+200-4a)/50=6

2.5a+200=300

2.5a=100

a=40

So the store would mix 40lb of almonds with 10lb of peanuts to produced a 50lb mix worth $6/lb