Question 262681
x/y = 4 and y is not = 0.


multiply both sides of this equation by y to get:


x = 4*y


divide both sides of this equation by 4 to get:


y = x/4


question is:


what percent of x is 2x-y


substitute x/4 for y in the expression 2x-y to get:


2x - x/4


multiply 2x by 4/4 to make the expression equal to:


8x/4 - x/4


combine common denominators to get:


(8x-x)/4


simplify to get:


7x/4


the question is:


what percent of x is 2x-y


since 2x-y = 7x/4, then:


take 7x/4 and divide it by x to get:


(7x/4)/x = 7x/4 * 1/x = 7x/4x = 7/4.


7/4 = 1.75 * 100% = 175%.


your answer is selection b which is 175%.


to see this easier, put it into numbers.


the question was:


what percent of x is 2x-y if x/y = 4 (y not 0).


start with x/y = 4.


multiply both sides by y to get 4*y = x


if x = 20, then 4*y = 20 making y = 5 because 4 * 5 = 20


you have:


x = 20
y = 5


the question is what percent of x is 2x-y.


x is 20


2x-y = 2*20 - 5 = 40-5 = 35


35/20 = 1.75 * 100% = 175%.