SOLUTION: At the supermarket, each pound of soy beans costs 5 times as much as each pound of wheat. If the total cost of 4.7 pounds of soy beans and 2.4 pounds of wheat is $51.80, what is th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At the supermarket, each pound of soy beans costs 5 times as much as each pound of wheat. If the total cost of 4.7 pounds of soy beans and 2.4 pounds of wheat is $51.80, what is th      Log On


   



Question 1066169: At the supermarket, each pound of soy beans costs 5 times as much as each pound of wheat. If the total cost of 4.7 pounds of soy beans and 2.4 pounds of wheat is $51.80, what is the cost of each pound of soy beans and each pound of wheat?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = cost/pound of soy beans
Let +b+ = cost/pound of wheat
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(1) +a+=+5b+
(2) +4.7a+%2B+2.4b+=+51.8+
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Substitute (1) into (2)
(2) +4.7%2A5b+%2B+2.4b+=+51.8+
(2) +23.5b+%2B+2.4b+=+51.8+
(2) +25.9b+=+51.8+
(2) +b+=+2+
and
(1) +a+=+5%2A2+
(1) +a+=+10+
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$10 = cost/pound of soy beans
$2 = cost/pound of wheat
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check:
(2) +4.7a+%2B+2.4b+=+51.8+
(2) +4.7%2A10+%2B+2.4%2A2+=+51.8+
(2) +47+%2B+4.8+=+51.8+
(2) +51.8+=+51.8+
OK