SOLUTION: The cost of 3 bananas, 2 mangoes and 4 oranges is 37. The cost of 5 bananas, 3 mangoes and 6 oranges is 57. Find the cost of each banana?

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: The cost of 3 bananas, 2 mangoes and 4 oranges is 37. The cost of 5 bananas, 3 mangoes and 6 oranges is 57. Find the cost of each banana?      Log On


   

Question 1112490: The cost of 3 bananas, 2 mangoes and 4 oranges is 37. The cost of 5 bananas, 3 mangoes and 6 oranges is 57. Find the cost of each banana?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
prices b, m, n
for each banana, mango, orange

system%283b%2B2m%2B4n=37%2C5b%2B3m%2B6n=57%29

system%283b%2B2%28m%2B2n%29=37%2C5b%2B3%28m%2B2n%29=57%29
You can start with Elimination Method to be able to eliminate the variable expression, m%2B2n, and then get the value for b.

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highlight%28b=3%29

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
@josgaritmetic,

my congratulations !

Very good solution !

Had I got it,  I would be proud on myself  :).