SOLUTION: I need help setting up my equations. A person buys 2pounds of bananas and 4 pounds of tofu. They spend $6.40. The tofue costs 6 times more per pound than the bananas

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I need help setting up my equations. A person buys 2pounds of bananas and 4 pounds of tofu. They spend $6.40. The tofue costs 6 times more per pound than the bananas      Log On


   

Question 714284: I need help setting up my equations. A person buys 2pounds of bananas and 4 pounds of tofu. They spend $6.40. The tofue costs 6 times more per pound than the bananas
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +b+ = the cost per pound in dollars of bananas
Let +t+ = the cost per pound in dollars of tofu
given:
(1) +2b+%2B+4t+=+6.4+
(2) +t+=+6b+
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Substitute (2) into (1)
(1) +2b+%2B+4%2A%286b%29+=+6.4+
(1) +2b+%2B+24b+=+6.4+
(1) +26b+=+6.4+
(1) +b+=+.2462+
and, since
(2) +t+=+6b+
(2) +t+=+6%2A.2462+
(2) +t+=+1.4769+
The bananas are $.25 / lb
The Tofu is $1.48 / lb
-------------------
(1) +2b+%2B+4t+=+6.4+
(1) +2%2A.2462+%2B+4%2A1.4769+=+6.4+
(1) +.4924+%2B+5.9076+=+6.4+
(1) +6.4+=+6.4+
OK