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8 July, 03:08

An Apple costs the same as 2 oranges. Together, an orange and a banana cost 10 cent more than an Apple. Two oranges cost 15 cent more than a banana. What is the cost for one of each fruit

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  1. 8 July, 06:56
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    Step-by-step explanation:

    Here we have oranges, bananas and apples. Represent their counts by g, b and a.

    Then a = 2g; also g + b = a + 10; and finally 2g = b + 15

    Substitute 2g for a in g + b = a + 10. Then g + b = 2g + 10, which simplifies to:

    b = g + 10

    Substituting g + 10 for b in 2g = b + 15, we get:

    2g = g + 10 + 15, or g = 25. An orange costs 25 cents.

    Subbing 25 cents for g in 2g = b + 15 results in b = 35 cents. A banana costs 35 cents.

    Since an apple costs the same as two oranges, a = 2 (25 cents) = 50 cents.

    An apple costs 50 cents.
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