A customblend bird seed is to be mixed from seed mixtures co

A custom-blend bird seed is to be mixed from seed mixtures costing $0.75 per pound and 51.25 per pound. How many pounds of each seed mixture arc used to make 200 pounds of custom-blend bird seed costing $0.95 per pound?

Solution

let us assume x pound of seed is mixed that costs $1.25 with 200-x pounds that costs $0.75

so solution costs $0.95 for 200 pounds

hence,

1.25x+.75(200-x)=.95*200
1.25x+150-.75x=190
.50x=190-150
.50x=40
x=40/.50

x=80 pounds of $1.25 seed is used.
200-80=120 pounds of $.75 seed is used