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
(0.49s+0.89b) =20*0.73
0.49(20-b)+0.89b=20*0.73
0.49*20-0.49b+0.89b=20*0.73
9.8+0.4b=14.6
0.4b=14.6-9.8=4.8
b=4.8/0.4=12
so bird seed mix=12 pounds
sun flower seeds=20-12=8 pounds
check
0.49*8+0.89*12=3.92+10.68=14.6
20*0.73=14.6
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