Question

The ratio of a to b is 2 to 3, where a and b are positive. If x equals a increased by 50% of a and y equals b decreased by 50% of b, what is the value of x/y?

Answer 1

Answer:

3/1.5

x=3

y=1.5

x÷y= 2

I hope this helps. Question was worded odd.

Answer 2

If x equals a increased by 50% of a and y equals b decreased by 50% of b, the value of x/y is:

$\frac{x}{y} =2$

Concept of Ratio

The ratio of a to b is 2 to 3

This can be written as:

$a:b=2:3$

This can also be re-written as:

$\frac{a}{b}=\frac{2}{3}$

x equals a increased by 50% of a

x  =  1.5a

x  =  1.5(2)

x  =  3

y equals b decreased by 50% of b

y  =  0.5b

y  =  0.5(3)

y  =  1.5

Therefore, the ratio x/y will be:

$\frac{x}{y} =\frac{3}{1.5} \\\\\\\frac{x}{y} =2$

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