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

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.