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A citrus fruit grower receives $15 for each crate of oranges

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A citrus fruit grower receives $15 for each crate of oranges [#permalink] New post 25 Jan 2012, 02:42
A citrus fruit grower receives $15 for each crate of oranges shipped and $18 for each crate of grapefruit shipped. How many crates of oranges did the grower ship last week?

(1) Last week the number of crates of oranges that the grower shipped was 20 more than twice the number of crates of grapefruit shipped.

(2) Last week the grower received a total of $38,700 from the crates of oranges and grapefruit shipped.

why cant we substitute the eq from a in to 15.(20+2G)+18G= , find g, substitute in O and get solution from (a) alone?

Last edited by Bunuel on 25 Jan 2012, 02:51, edited 1 time in total.
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Re: ds pls help confusing-Experts [#permalink] New post 25 Jan 2012, 02:49
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A citrus fruit grower receives $15 for each crate of oranges shipped and $18 for each crate of grapefruit shipped. How many crates of oranges did the grower ship last week?

Let x be the # of oranges and y the # of grapefruits. Note that x and y must be an integers. Q: x=?

(1) Last week the number of crates of oranges that the grower shipped was 20 more than twice the number of crates of grapefruit shipped --> x=2y+20. Not sufficient to calculate x

(2) Last week the grower received a total of $38,700 from the crates of oranges and grapefruit shipped --> 15x+18y=38700 --> 5x+6y=12900. Multiple values are possible, for istance: x=180 and y=2000 OR x=60 and y=2100.

(1)+(2) Two unknowns, two different linear equations --> We can calculate unique value of x. Sufficient.

Answer: C.
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Re: A citrus fruit grower receives $15 for each crate of oranges [#permalink] New post 25 Jan 2012, 02:55
thanks Bunuel :)
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Re: A citrus fruit grower receives $15 for each crate of oranges [#permalink] New post 25 Jan 2012, 02:57
Hi,

If you substitute O=20+2G in the equation 15O+18G you will not be able to equate G to anything as the equation does not equal to anything

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Re: A citrus fruit grower receives $15 for each crate of oranges [#permalink] New post 25 Jan 2012, 03:28
x and Y should be intigers :P
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Re: A citrus fruit grower receives $15 for each crate of oranges [#permalink] New post 27 Jan 2012, 02:23
X & Y are oranges & apples, thus should be whole numbers only.
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Re: A citrus fruit grower receives $15 for each crate of oranges   [#permalink] 27 Jan 2012, 02:23
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