You want to solve this set of linear equations by the elimination method.
Let x=price of bag of flour and y=price of bag of sugar
Multiply the first equation by -3.
-3(7x+5y=584)
Multiply the second equation by 5.
5(5x+3y=384)
Solve by elimination.
X=42
Substitute value of x into one of the original equations.
Y=58
ratio of voljumes = 3^3 : 4^3 or 27:64
small/large = 27 / 64
vol of smaller = 27 * 320 / 64
=135
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