Algebra Problem- Help Please..?
A resturaunt mixes pinto beans priced at $6.50 a pound with navy beans priced at $9.25 a pound. How many pounds of each bean is needed to make a 17 pouind mixture priced at $7.75 a pound?
How do I set this problem up? I got the answer but i need to know HOW to do this correctly.
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Let x = no. of lbs of navy beans
17 - x = no. of lbs of pinto beans
9.25(x) + 6.25(17 - x) = 7.75(17)
9.25x + 106.25 - 6.25x = 131.75
9.25x - 6.25x = 131.75 - 106.25
3.00x = 25.5
x = 25.5/3.00 = 8.5 lbs of navy beans
17 - 8.5 = 8.5 lbs of pinto beans