SOLUTION: If x/y=4 and y is not '0' what % of x is 2x-y (a)150% (b)175% (c)200% (d)250%

Question 262681: If x/y=4 and y is not '0' what % of x is 2x-y
(a)150% (b)175% (c)200% (d)250%
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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%.

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