Question 852900: The cost of one apple and one banana is $1 and the cost of 3 apples and 2 bananas is $2.40. Find the cost of a single banana. Found 2 solutions by checkley79, ramkikk66:Answer by checkley79(3341) (Show Source):
You can put this solution on YOUR website! 1A+1B=$1.00 MULTIPLY THIS EQUATION BY -2 & ADD.
3A+2B=$2.40
-2A-2B=-2.00
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A=.40 THE COST OF ONE BANANA.
.40+B=1.00
B=1.00-.40=.60 FOR ONE APPLE.
PROOF:
3*.40+2*.60=2.40
1.20+1.20=2.40
2.40=2.40
The cost of one apple and one banana is $1 and the cost of 3 apples and 2 bananas is $2.40. Find the cost of a single banana.
Ans:
Let the cost of apple be a and that of banana be b.
(using cents instead of dollars)
From the 1st equation,
Substituting for b in the second,
Simplifying, or
So
Cost of banana is 60 cents or $0.6
Cost of appla is 40 cents or $0.4
Check: Cost of 3 apples and 2 bananas = 3*0.4 + 2*0.6 = 1.2 + 1.2 = 2.4. Correct!
Hope this helps :)
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