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What is the ratio of x to y?
3/5= x/x+2y


Sagot :

[tex]\frac{3}{5}=\frac{x}{x+2y}\ \ \ \ cross\ multiplication\\\\ 3(x+2y)=5x\\\\ 3x+6y=5x\ \ \ | subtract\ 3x\\\\ 6y=2x\ \ \ \ \ | divide\ by\ 2\\\\ 3y=x\ \ \ \ | divide\ by\ y\\\\ 3=\frac{x}{y}\\\\ \frac{x}{y}=3[/tex]
[tex]\frac{3}{5}=\frac{x}{x+2y} \ \ \ |\hbox{cross multipy} \\ 3(x+2y)=5x \\ 3x+6y=5x \ \ \ |-3x \\ 6y=2x \ \ \ |\div 2 \\ 3y=x \ \ \ |\div y \\ 3=\frac{x}{y} \\ \frac{3}{1}=\frac{x}{y}[/tex]

The ratio of x to y is 3:1.
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