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Peter combines two different types of trail mix, A and B, to make 400 [#permalink]
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15 Aug 2017, 01:08
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Re: Peter combines two different types of trail mix, A and B, to make 400 [#permalink]
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15 Aug 2017, 02:06
48 ounces in 400 ounces is \(\frac{48}{400}*100 = 12\)% We have two trails  Mix A and Mix B containing 10% and 20% of raisins respectively. Therefore, Mix AMix B 1020 12 82 Hence, they have to mixed in the ratio 4:1(Mix A:Mix B) Therefore, we will need \(\frac{4}{5}*400\) of the trail mix being prepared to come from Mix A, thereby making the total weight in ounces of Mix A, 320 ounces(Option D)
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Re: Peter combines two different types of trail mix, A and B, to make 400 [#permalink]
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15 Aug 2017, 02:22
0.1x+0.2(400x)=38 8038 =0.1x 320=x D is the answer



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Re: Peter combines two different types of trail mix, A and B, to make 400 [#permalink]
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15 Aug 2017, 02:23
prachi18oct wrote: 0.1x+0.2(400x)=38 8038 =0.1x 320=x D is the answer It's not 38 but 48. Still the method is alright.



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Re: Peter combines two different types of trail mix, A and B, to make 400 [#permalink]
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15 Aug 2017, 02:29
10/100 * A + 20/100 * B = 48 1 A+B = 4002 solving 1 and 2 will give A= 320 B = 80.



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Re: Peter combines two different types of trail mix, A and B, to make 400 [#permalink]
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15 Aug 2017, 21:11
Bunuel wrote: Peter combines two different types of trail mix, A and B, to make 400 ounces of his own mix, which includes 48 ounces of raisins. Trail mix A is 10% raisins by weight, and Trail mix B is 20% raisins by weight. How many ounces of trail mix A does Peter use to make his mix?
A. 80 B. 160 C. 240 D. 320 E. 360 .1A+.2B=.12(A+B) A/B=4/1 4/5*400=320 ounces of mix A D



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Re: Peter combines two different types of trail mix, A and B, to make 400 [#permalink]
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16 Aug 2017, 00:54
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Re: Peter combines two different types of trail mix, A and B, to make 400 [#permalink]
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17 Aug 2017, 06:37
let raisin in mix 1 is x that is used let raisin in mix 2 is y that is used mix 1 is 10% and mix 2 is 20% and blend is 48/400 *100 = 12% so 10x +20y / (x+y) = 12 x=4y x+y= 400 x=320 answer D
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Re: Peter combines two different types of trail mix, A and B, to make 400 [#permalink]
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18 Aug 2017, 09:13
Bunuel wrote: Peter combines two different types of trail mix, A and B, to make 400 ounces of his own mix, which includes 48 ounces of raisins. Trail mix A is 10% raisins by weight, and Trail mix B is 20% raisins by weight. How many ounces of trail mix A does Peter use to make his mix?
A. 80 B. 160 C. 240 D. 320 E. 360 We can let a = the amount of trail mix A and b = the amount of trail mix B. We have two equations: a + b = 400 b = 400  a and 0.1a + 0.2b = 48 a + 2b = 480 Substituting b = 400  a in a + 2b = 480, we have: a + 2(400  a) = 480 a + 800  2a = 480 320 = a Answer: D
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Peter combines two different types of trail mix, A and B, to make 400 [#permalink]
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18 Aug 2017, 12:50
Bunuel wrote: Peter combines two different types of trail mix, A and B, to make 400 ounces of his own mix, which includes 48 ounces of raisins. Trail mix A is 10% raisins by weight, and Trail mix B is 20% raisins by weight. How many ounces of trail mix A does Peter use to make his mix?
A. 80 B. 160 C. 240 D. 320 E. 360 \(\frac{48}{400}\) = 12 percent raisins in mix of A + B Change decimal percentages to integers to make calculation easier 10A + 20B = 12(A + B) 8B = 2A \(\frac{A}{B}\) = \(\frac{8x}{2x}\) > 10x parts total 10x = 400 x = 40 A = 8x = (8)(40) = 320 Answer D
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Re: Peter combines two different types of trail mix, A and B, to make 400 [#permalink]
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20 Aug 2017, 02:06
Let total Weight of Trail A is 'a' and of Trail B is 'b'.
According to statement:
Equation for Raisins weight: 0.1a + 0.2b = 48  eqn 1
Equation for Total weight: a + b = 400  eqn 2
Solving both equation, we get a= 320 & b= 80.
Hence, Ans D



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Re: Peter combines two different types of trail mix, A and B, to make 400 [#permalink]
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20 Aug 2017, 06:12
Bunuel wrote: Peter combines two different types of trail mix, A and B, to make 400 ounces of his own mix, which includes 48 ounces of raisins. Trail mix A is 10% raisins by weight, and Trail mix B is 20% raisins by weight. How many ounces of trail mix A does Peter use to make his mix?
A. 80 B. 160 C. 240 D. 320 E. 360 1. A + B = 400 ounces. 2. 0.1A + 0.2B = 48 ~ A + 2B = 480. 3. Solve two equation, got B = 80 and A = 320. Hence the answer is D.
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Re: Peter combines two different types of trail mix, A and B, to make 400 [#permalink]
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20 Aug 2017, 07:33
Bunuel wrote: Peter combines two different types of trail mix, A and B, to make 400 ounces of his own mix, which includes 48 ounces of raisins. Trail mix A is 10% raisins by weight, and Trail mix B is 20% raisins by weight. How many ounces of trail mix A does Peter use to make his mix?
A. 80 B. 160 C. 240 D. 320 E. 360 Using allegation : Assume: Weight of A = A Weight of B = B Conc. of A = 10% Conc. of B = 20% Avg. Conc. of mix. = (48/400)*100 = 12% (A/(400A)) = (2012)/(1210) A=320




Re: Peter combines two different types of trail mix, A and B, to make 400
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