You want to setup an equation that will match the word problem. Let's call the amount of the first brand, F and the amount of the second brand, S.
We want the total mixture to be 310mL so: F + S = 310
Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)
Now, we can solve the system of equations using substitution.
F + S = 310
.06F + .11S = .08(310)
F = 310 - S [solve 1st equation for F]
.06(310 - S) + .11S = .08(310) [substitute into 2nd equation]
18.6 -.06S +.11S = 24.8
.05S = 6.2
S = 124
F + 124 = 310 [substitute answer for S back into original equation]
F = 186
Answer: to make a 310mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.
To make 240 milliliter of mixture that contain 8% vinegar, use 168 milliliter of first brand and 72 milliliter of second brand
An equation between two variables that gives a straight line when plotted on a graph.
In mathematics, a percentage is a number or ratio expressed as a fraction of 100.
Given,
Quantity of vinegar in first brand = 5%
Quantity of vinegar in second brand = 15%
The chef wants to make 240 milliliter of a dressing that 8% vinegar
Consider,
Quantity of first brand = x
Quantity of second brand = y
Then,
x + y = 240
x=240-y
We want total of 8% of mixture by adding first brand and second brand
0.05x + 0.15y = 0.08×240
Substitute the value of x in this equation
0.05(240-y) + 0.15y =19.2
12 - 0.05y + 0.15y = 19.2
0.1y = 7.2
y = 72
Substitute the value of y in first equation
x + y = 240
x + 72 =240
x = 168
Hence, to make 240 milliliter of mixture that contain 8% vinegar, use 168 milliliter of first brand and 72 milliliter of second brand
Learn more about Linear equation and Percentage here
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