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Question 1189269: Dalia,Ruth and Amy go to the store to buy snacks. Delia buys 3 oranges and 3 apples. Ruth buys 1 banana, 2 oranges and 3 apples. Amy buys 2 bananas and 4 oranges . Delia's bill comes to ₱13.72, Ruth's to ₱15.06, and Amy to ₱16.58.How much does one orange cost?
Answer by ikleyn(52795)   (Show Source):
You can put this solution on YOUR website! .
Dalia,Ruth and Amy go to the store to buy snacks.
Delia buys 3 oranges and 3 apples.
Ruth buys 1 banana, 2 oranges and 3 apples.
Amy buys 2 bananas and 4 oranges .
Delia's bill comes to ₱13.72, Ruth's to ₱15.06, and Amy to ₱16.58.
How much does one orange cost?
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The general instruction / guide is THIS:
make a system of 3 equations and then solve it.
Let x be the price for each single orange; y - for each single apple and z for each single banana.
Having said this, write the system of 3 equations as you read the problem
3x + 3y = 13.72
2x + 3y + z = 15.06
4x + 2z = 16.58
Next solve the system. You may use any method you want; for example, you may use your pocket calculator,
if you have an appropriate software there.
Now I am looking into the first equation, and I see that its left side is a multiple of 3,
while the number 13.72 in the right side is not divisible by 3 (the sum of its digits, which is 13,
is not divisible by 3).
It tells me that there is no solution in integer cents.
At this point my interest to this problem becomes equal to 0 (zero, ZERO).
The ANSWER is: the price of each single orange is 2.3166666666... cents,
and you may round it to 2.32,
but what follows is just beyond of Mathematics.
Typical " the second freshness problem ", if you know what this term means.
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