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Bunuel
At a certain fruit stand, the price of an apple is twice the price of an orange. For which of the following combinations of apples and oranges is the total price equal to the total price of 20 oranges?

I. 2 apples and 16 oranges
II. 3 apples and 14 oranges
III. 6 apples and 8 oranges

A. I only
B. II only
C. III only
D. I and II only
E. I, II and III

Cost of-
1 apple- 2x
1 orange- x
20 Oranges- 20x

I 4x+16X= 20X Yes
II 6x+14X==20X yes
III 12X + 8X=20X Yes.

Option E
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Bunuel
At a certain fruit stand, the price of an apple is twice the price of an orange. For which of the following combinations of apples and oranges is the total price equal to the total price of 20 oranges?

I. 2 apples and 16 oranges
II. 3 apples and 14 oranges
III. 6 apples and 8 oranges

A. I only
B. II only
C. III only
D. I and II only
E. I, II and III

We can let the price of an apple be 2 dollars and the price of an orange be 1 dollar, so 20 oranges is 20 dollars.

Thus, we see that 2 apples and 16 oranges is 20 dollars, 3 apples and 14 oranges is 20 dollars, and 6 apples and 8 oranges is 20 dollars.

Answer: E
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