HELP! Sunflower Seed Mixture Math Problem: Agway Gardens has sunflower seeds that sell for $0.49 per pound?
Agway Gardens has sunflower seeds that sell for $0.49 per pound and gourmet bird seed mix that sells for $0.89 per pound. How much of each must be mixed to get a 20-pound mixture that sells for $0.73 per pound?
I came up with this equation:
let S = Sunflower seeds
B = Bird seed mix
I came up with this equation: (0.49S + 0.89B) / 20 = 0.73
But I couldn't find the solution.
Thank you for your help!
as you said
s= sunflower seed in pounds
b= bird seed mix in pounds
total weight = 20 lb
then , s= 20-b
so bird seed mix=12 pounds
sun flower seeds=20-12=8 pounds
You need to be clearer in you definitions. "S" is not just sunflower seeds, it is the number of pounds of sunflower seeds to use
S + B = 20
Now you have two equations in two unknowns, and can solve.
since there are two unknowns you will need two equations.
since S and B represent the total amount in pounds and you know you need 20 pounds, the 2nd equation would be
S + B = 20
then you can solve both equations noting that S = 20 - B so
solve for B then plug that into either of the first equations to solve for A
If S is the number of pounds of sunflower seeds, 20-S is the number of pounds of bird seed in the mix. Then your equation becomes [0.49S + 0.89(20-S)]/20 = 0.73
Now you can solve for S, and hence for B.