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

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
A bag of snack mix contains 3 ounces of pretzels, 1 ounce of chocolate  [#permalink]

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19 Aug 2018, 08:47
00:00

Difficulty:

25% (medium)

Question Stats:

78% (01:08) correct 22% (01:07) wrong based on 46 sessions

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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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Joined: 16 Jan 2018
Posts: 91
Location: New Zealand
A bag of snack mix contains 3 ounces of pretzels, 1 ounce of chocolate  [#permalink]

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19 Aug 2018, 10:53
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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19 Aug 2018, 10:55
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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Joined: 22 May 2016
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A bag of snack mix contains 3 ounces of pretzels, 1 ounce of chocolate  [#permalink]

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20 Aug 2018, 16:50
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: $$(\frac{Part}{Whole}*100)=(\frac{FruitOz}{TotalOz}*100)$$

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

A bag of snack mix contains 3 ounces of pretzels, 1 ounce of chocolate &nbs [#permalink] 20 Aug 2018, 16:50
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