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16 ounces of birdseed mix contains 10% sesame seed by weigh

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16 ounces of birdseed mix contains 10% sesame seed by weigh [#permalink] New post 02 Jun 2018, 03:57
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Question Stats:

64% (00:56) correct 36% (02:49) wrong based on 25 sessions
16 ounces of birdseed mix contains 10% sesame seed by weight. How much sesame seed must be added to produce a mix that is 20% sesame seed by weight?

(A) 1 ounce
(B) 1.6 ounces
(C) 2 ounces
(D) 2.4 ounces
(E) 4 ounces
[Reveal] Spoiler: OA

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Re: 16 ounces of birdseed mix contains 10% sesame seed by weigh [#permalink] New post 04 Jun 2018, 06:26
anyone pls explain
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Re: 16 ounces of birdseed mix contains 10% sesame seed by weigh [#permalink] New post 05 Jun 2018, 13:06
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We have 16 Oz birdseed. And 10% is sesame seed.

At 10% of 16 Oz we have \(\frac{10}{100}\times 16=1.6\) Oz sesame seeds

Now lets say we add \(x\) oz of sesame seeds more to the mixture.

Total weight of sesame seeds in the new mixture=1.6 +x.

Weight of the mixture= 16+x. (Remember you added extra weight to the total mixture not just the sesame part)


Now the new mixture has to be 20% sesame by weight

\(\frac{1.6+x}{16+x}= 20%= \frac{20}{100}\)

\(\frac{1.6+x}{16+x}=0.2\)
or \(1.6+x= 0.2(16+x)\)
or \(1.6+x= 3.2+0.2x\)
or \(0.8x= 1.6\)

Thus \(x=2\) Oz.




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Re: 16 ounces of birdseed mix contains 10% sesame seed by weigh [#permalink] New post 15 Jan 2019, 17:10
In 16 Ounces, we have 10% sesame seed i.e. 1.6 ounce.
now let assume x ounce of sesame seed needed to make mixture that contains 20% of sesame seed
=> (1.6+x)/(16+x)= 1/5
=> by cross-multiplication, 8+5x= 16+x
=> 4x=8
=> x=2
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Re: 16 ounces of birdseed mix contains 10% sesame seed by weigh [#permalink] New post 17 Sep 2019, 05:52
sandy wrote:
We have 16 Oz birdseed. And 10% is sesame seed.

At 10% of 16 Oz we have \(\frac{10}{100}\times 16=1.6\) Oz sesame seeds

Now lets say we add \(x\) oz of sesame seeds more to the mixture.

Total weight of sesame seeds in the new mixture=1.6 +x.

Weight of the mixture= 16+x. (Remember you added extra weight to the total mixture not just the sesame part)


Now the new mixture has to be 20% sesame by weight

\(\frac{1.6+x}{16+x}= 20%=\frac{20}{100}\)

\(\frac{1.6+x}{16+x}=0.2\)
or \(1.6+x= 0.2(16+x)\)
or \(1.6+x= 3.2+0.2x\)
or \(0.8x= 1.6\)

Thus \(x=2\) Oz.

Note


Will be \(\frac{1.6+x}{16+x}= \frac{20}{100}\)
See above line no. 7 to assure the differences of error.
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Re: 16 ounces of birdseed mix contains 10% sesame seed by weigh   [#permalink] 17 Sep 2019, 05:52
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