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Wheat varieties A and B are to be mixed to form a mixture worth $16 pe

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Wheat varieties A and B are to be mixed to form a mixture worth $16 pe [#permalink] New post   04 Jan 2024, 00:00
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Wheat varieties A and B are to be mixed to form a mixture worth $16 per pound. Variety A of wheat is priced at $18 per pound. One of the varieties is priced at $3 per pound greater than the other.


Quantity A
Quantity B
The ratio in which wheat varieties A and B are mixed
1/2



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



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C
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Re: Wheat varieties A and B are to be mixed to form a mixture worth $16 pe [#permalink] New post   08 Jan 2024, 19:57
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Since "one of the varieties is priced at $3 per pound greater than the other" and we're told Variety A is $18, Variety B will either be $15 or $21 per pound. There is no ratio of $18 and $21 varieties that will result in a $16 mix, so Variety B must be priced at $15 per pound.

We can interpret the equation as:
18A + 15B = 16(A+B), in which A = pounds of variety A and B = pounds of variety B.

Plug in 1 for A:
18(1) + 15B = 16(1+B)
18 + 15B = 16 + 16B
2 = B

Therefore, the ratio of A to B is 1/2.
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Re: Wheat varieties A and B are to be mixed to form a mixture worth $16 pe [#permalink] New post   14 Jan 2025, 08:55
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Wheat varieties A and B are to be mixed to form a mixture worth $16 pe [#permalink]
14 Jan 2025, 08:55
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