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A bag of snack mix contains 3 ounces of pretzels, 1 ounce of chocolate

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A bag of snack mix contains 3 ounces of pretzels, 1 ounce of chocolate  [#permalink]

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New post 19 Aug 2018, 09:47
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A bag of snack mix contains 3 ounces of pretzels, 1 ounce of chocolate chips, 2 ounces of mixed nuts, and x ounces of dried fruit by weight. What percent of the mix is dried fruit, by weight?


(A) \(\frac{x}{600}\)

(B) \(\frac{100}{6x}\)

(C) \(\frac{100x}{6}\)

(D) \(\frac{100x}{x+6}\)

(E) \(\frac{x}{100(x+6)}\)

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A bag of snack mix contains 3 ounces of pretzels, 1 ounce of chocolate  [#permalink]

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New post 19 Aug 2018, 11:53
Bunuel wrote:
A bag of snack mix contains 3 ounces of pretzels, 1 ounce of chocolate chips, 2 ounces of mixed nuts, and x ounces of dried fruit by weight. What percent of the mix is dried fruit, by weight?


(A) \(\frac{x}{600}\)

(B) \(\frac{100}{6x}\)

(C) \(\frac{100x}{6}\)

(D) \(\frac{100x}{x+6}\)

(E) \(\frac{x}{100(x+6)}\)



3 + 1 + 2 + x = 6 + x

%DF = DF/Total * 100

= x/(6+x) * 100 = 100x/(6 + x) Option D...
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A bag of snack mix contains 3 ounces of pretzels, 1 ounce of chocolate  [#permalink]

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New post 19 Aug 2018, 11:55
Bunuel wrote:
A bag of snack mix contains 3 ounces of pretzels, 1 ounce of chocolate chips, 2 ounces of mixed nuts, and x ounces of dried fruit by weight. What percent of the mix is dried fruit, by weight?


(A) \(\frac{x}{600}\)

(B) \(\frac{100}{6x}\)

(C) \(\frac{100x}{6}\)

(D) \(\frac{100x}{x+6}\)

(E) \(\frac{x}{100(x+6)}\)


Given, Dried fruit content=x ounces
Mixture content=3+1+2+x=6+x ounces
\(\frac{Dried-fruit-content}{mixture-content}*100=\frac{x}{6+x}*100\)=\(\frac{100x}{x+6}\)

Ans. (D)
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A bag of snack mix contains 3 ounces of pretzels, 1 ounce of chocolate  [#permalink]

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New post 20 Aug 2018, 17:50
Bunuel wrote:
A bag of snack mix contains 3 ounces of pretzels, 1 ounce of chocolate chips, 2 ounces of mixed nuts, and x ounces of dried fruit by weight. What percent of the mix is dried fruit, by weight?


(A) \(\frac{x}{600}\)

(B) \(\frac{100}{6x}\)

(C) \(\frac{100x}{6}\)

(D) \(\frac{100x}{x+6}\)

(E) \(\frac{x}{100(x+6)}\)

In the mixture, each item's weight in ounces
P = 3
C = 1
N = 2
F = x

Dried fruit is what percent of the mix, by weight?

Total ounces: \((P+C+N+F)=(3+1+2+x)=\)
\((x+6)\)
Dried fruit, # of ounces: \(F=x\)

Dried fruit as a percent of mix: \((\frac{Part}{Whole}*100)=(\frac{FruitOz}{TotalOz}*100)\)

\((\frac{x}{x+6}*\frac{100}{1})=\frac{100x}{x+6}\)

Answer D
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A bag of snack mix contains 3 ounces of pretzels, 1 ounce of chocolate   [#permalink] 20 Aug 2018, 17:50
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