The owner of a pet food store wants to mix birdseed that costs $1.25 per pound with sunflower seeds that cost $0.75 pe pound to make 50 pounds of a mi

allhvasstH

allhvasstH

Answered question

2021-05-02

The owner of a pet food store wants to mix birdseed that costs $1.25 per pound with sunflower seeds that cost $0.75 pe pound to make 50 pounds of a mixture that costs $1.00 per pound. How many pounds of each type of seed should he use?

Answer & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2021-05-04Added 169 answers

Ian Adams

Ian Adams

Skilled2021-08-04Added 163 answers

Let x be the amount of birdseed and yy be the amount of sunflower seeds, both in pounds.
The mixture must be 50 pounds:
x+y=50(1)
In terms of cost,
1.25x+0.75y=1(50)
or
1.25x+0.75y=50(2)
Solve for yy using (1) to obtain (3):
y=50x(3)
Substitute (3) to (2) and solve for x:
1.25x+0.75(50x)=50
1.25x+37.50.75x=50
0.5x=12.5
x=25
Solve for yy using (3):
y=5025
y=25
So, the owner should use 25 pounds of birdseed and 25 pounds of sunflower seeds.

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