Question

If 4 apples and 2 oranges cost $1 and 2 apples and 3 oranges cost $0.70, how much does each apple and each orange costi​

Answer 1

Answer:

20 cents & 15 cents respectively

Step-by-step explanation:

If 4 apples and 2 oranges equals $1 and 2 apples and 3 orange equals $0.70, how much does each apple and each orange cost? There are no quantity discounts.

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Equations:

4a + 2r = 100 cents

2a + 3r = 70 cents

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To eliminate the "r" terms multiply

thru the 1st equation by 3; multiply

thru the 2nd equation by 2.

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12a + 6r = 300

 

4a + 6r = 140

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Subract the 2nd from the 1st Eq and solve for "a":

8a = 160

a = 20 cents (price of one apple)

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Substitute for "a" in 2a+3r = 70 and solve for "r":

2*20 + 3r = 70

3r = 30

r = 15 cents (price of one orange)

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