SOLUTION: Birdseed costs $0.59 a pound and sunflower seeds cost %0.89. Angela's pet store wishes to make a 40-pound mixture of birdseed and sunflower seeds that sells for $0.76 per pound. Ho

Question 567119: Birdseed costs $0.59 a pound and sunflower seeds cost %0.89. Angela's pet store wishes to make a 40-pound mixture of birdseed and sunflower seeds that sells for $0.76 per pound. How many pounds of each type of seeds should she use?
Please help me solve this application problem for systems of linear equations!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of birdseed needed
Let = pounds of sunflower seeds needed
given:
(1)
(2)
---------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and
(1)
(1)
17 and 1/3 pounds of birdseed are needed
22 and 2/3 pounds of sunflower seed are needed
check answer:
(2)
(2)
(2)
(2)
close enough, error due to rounding off
RELATED QUESTIONS
Birdseed costs $0.68 a pound and sunflower seeds cost $0.98 a pound.... (answered by ikleyn)

Birdseed costs $0.68 a pound and sunflower seeds cost $0.98 a pound.... (answered by stanbon,josmiceli)

Birdseed costs $0.66 a pound and sunflower seeds cost $0.96 a pound. Angela... (answered by greenestamps)

Birdseed costs $0.68 a pound and sunflower seeds cost $0.98 a pound. Angela... (answered by josgarithmetic,greenestamps,ikleyn)

Birdseed costs $0.69 a pound and sunflower seeds cost $0.99 a pound. Angela... (answered by josgarithmetic)

Birdseed costs $0.62 a pound and sunflower seeds cost $0.92 a pound. Angela... (answered by ikleyn,josmiceli)

Birdseed costs $0.56 a pound and sunflower seeds cost $0.86 a pound. Angela... (answered by josgarithmetic,ikleyn)

Birdseed costs $0.56 a pound and sunflower seeds cost $0.86 a pound. Angela... (answered by Alan3354)

Birdseed costs $0.62 a pound and sunflower seeds cost $0.92 a pound. Angela... (answered by ikleyn)