Thank you for posting your question here at . I hope the answer will help you. Feel free to ask more questions. We need 50 ml of a 12% alcohol solution. We have 10% and 15% alcohol solutions and we want
50 ml at 12% We set up 2 equations
(x is volume of 10% y is volume of 15%)
a) x + y = 50
b) .1x + .15y = 6.0 (which is 50 ml at 12% or .12 * 50)
multiplying equation "a" by -.1 then add it to "b"
a) -.1x -.1y = -5
b) .1x +.15y = 6.0
.05y = 1
y = 20 ml of 15% and therefore x would equal 30 ml of 10%
He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
(50 - x) is the amount of the 15% Alcohol solution to use. If you solve for x first. 0.10x + 0.15(50 – x) = 0.12(50) 0.10x - 0.15x + 7.5 = 6 -0.05x + 7.5 = 6 7.5 - 6 = 0.05x 1.5 = 0.05x 1.5/0.05 = x 30 mL = x
B Here, x is the volume of the 10ml solution. Multiplying it by its concentration gives the amount of alcohol in it. 50 is the total volume of the 12% solution so (50 - x) gives the volume of the 15% solution. Multiplying this by the concentration gives the amount of alcohol in it. The sum of these amounts of alcohols is equivalent to the amount of alcohol in the 12% solution which is given by the product of its volume and concentration.
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
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