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Bunuel
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Bunuel
Solution X contains only ingredients a and b in a ratio of 2:3. Solution Y contains only ingredients a and b in a ratio of 1:2. If Solution Z is created by mixing solutions X and Y in a ratio of 3:11 , then 630 ounces of Solution Z contains how many ounces of a ?

(A) 68
(B) 73
(C) 89
(D) 219
(E) 236


Are You Up For the Challenge: 700 Level Questions

Focus on one ingredient.
X has 2/5th ingredient a. Y has 1/3rd ingredient a.
They are mixed in the ratio 3: 11

w1/w2 = (A2 - Aavg)/(Aavg - A1)

3/11 = (1/3 - Aavg)/(Aavg - 2/5)

(Aavg - 2/5)*3 = (1/3 - Aavg)*11

Aavg = 73/14*15 (concentration of a in solution Z)
(Leave the denominator as it is. It will likely get cancelled)

Ounces of a in solution Z = (73/14*15) * 630 = 219

Answer (D)

Here is how we get this formula:
https://www.youtube.com/watch?v=_GOAU7moZ2Q
https://www.youtube.com/watch?v=VdBl9Hw0HBg
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­Please can anyone post for cross method solution or diagram method
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X
2:3 = 5 units
6:9= 15 units

Y
1:2= 3 units
5:10= 15 units

3 of X and 11 of Y
18:27=45 units of x
55:110= 165 units of Y

Total (X+Y=Z)
73:137=210 units
Multiply by 3
73x3=219 of a in 630 of z
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Bunuel
Solution X contains only ingredients a and b in a ratio of 2:3. Solution Y contains only ingredients a and b in a ratio of 1:2. If Solution Z is created by mixing solutions X and Y in a ratio of 3:11 , then 630 ounces of Solution Z contains how many ounces of a ?

(A) 68
(B) 73
(C) 89
(D) 219
(E) 236


Are You Up For the Challenge: 700 Level Questions
­Volume of Solution Z = 63 ounces
Ratio of X: Y in Z = 3 : 11
Volume of solution X = 3/14*630
Volume of solution Y = 11/14*630
Volume of a in solution X = (2/5) * (3/14) * 630 = 54 ounces
Volume of a in solution Y = (1/3)* (11/14) * 630 = 165 ounces
Total volume of a = 165+54 = 219
Answer is Option D
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X = a:b in 2:3
a=40% (2/5)
b=60% (3/5)

Y = a:b in 1:2
a=33%
b= 66%

Z=X:Y in the ratio 3:11.

We know the total oz is 630. So what I did was 3x+11x=630. x=45
3(45) + 11(45) = 135 + 495

Now 135 represents X and 495 represents Y.

Find the total of a in 135. 40%(135) = 54
Same for 495. 33%(495) = 165.

165+54 =219

Bunuel
Solution X contains only ingredients a and b in a ratio of 2:3. Solution Y contains only ingredients a and b in a ratio of 1:2. If Solution Z is created by mixing solutions X and Y in a ratio of 3:11 , then 630 ounces of Solution Z contains how many ounces of a ?

(A) 68
(B) 73
(C) 89
(D) 219
(E) 236


Are You Up For the Challenge: 700 Level Questions
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