Birdseed costs 066 a pound and sunflower seeds cost 096 a po

Birdseed costs $0.66 a pound and sunflower seeds cost $0.96 a pound. Angela Leinenbachs\' pet store wishes to make a 50-pound mixture of birdseed and sunflower seeds that sells for $0.73 per a pound. How many pounds of each type of seed should she use?)

Solution

Let she buy x pound of birdsseed and y pound of sunflowerseed

then:
x+y = 50
x = 50-y

0.66*x + 0.96*y = 0.73*(x+y)
0.66*(50-y) + 0.96*y = 0.73*50
33 - 0.66*y + 0.96*y = 36.5
y = 11.67 pound

x = 50-11.67 = 38.33 pound

She should buy
38.33 pound of Birdseed
11.67 pounds of sunflower seed