Question 1207292
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The ratio of A to B is 3:2.  A:B=3:2<br>
The ratio of B to C is 1:2.  B:C=1:2<br>
Scale the second ratio up to make the same number for B in both ratios.  B:C=2:4<br>
Write a compound statement showing the ratios of all three.  A:B:C=3:2:4<br>
So paint A is 3/9 of the mixture, paint B is 2/9, and paint C is 4/9.<br>
The mixture is 360L, so
A = (3/9)360 = 3*40 = 120L
B = (2/9)360 = 2*40 = 80L
C = (4/9)360 = 4*40 = 160L<br>
We can use the fractions of the mixture that each paint is, along with the cost per liter of each paint, to find the cost of one liter of the mixture as a weighted average:<br>
(3/9)(1800)+(2/9)(2400)+(4/9)(1275)=(5400+4800+5100)/9 = 15300/9 = 1700<br>