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03 Jan 2016, 12:40
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E
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If x > 0 and x percent of a is b, then, in terms of x, a is how many times b ?
A. 100x
B. 10x
C. x
D. 10/x
E. 100/x
A. 100x
B. 10x
C. x
D. 10/x
E. 100/x
06 Jan 2016, 03:11
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(x/a)*100 =b
let a = 100 and x = 10 then b =10
in this case
a is = 100/x times b
now ,
let a=150 and x =50 then b = 75
in this case
a is =100/x times b
for confirmation
let a =200 and x =30 then b = 120
in this case
a is again = 100/x times b
so E 100/x
let a = 100 and x = 10 then b =10
in this case
a is = 100/x times b
now ,
let a=150 and x =50 then b = 75
in this case
a is =100/x times b
for confirmation
let a =200 and x =30 then b = 120
in this case
a is again = 100/x times b
so E 100/x
06 Jan 2016, 07:43
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Given: x percent of a = b
\(a*(\frac{x}{100})=b\)
What we're being asked: a = b*(something in terms of x)
Rearrange our original equation
\(a=b*(\frac{100}{x})\)
Answer: E
We can check by testing values. When testing values, it's important to avoid values that might give false positives. You want numbers that are easy to work with, but will give you unique answers.
let a = 90 and x = 20, then b = 18
\(b*(\frac{100}{x}) = 18*(\frac{100}{20}) = 90\)
Checks out.
If instead I had chosen a = 100 and x = 10, then b = 10. Then b*10 = a, and both answers C and E could work. It's not always easy, but one should always try to choose numbers that will give different results for each answer choice.
\(a*(\frac{x}{100})=b\)
What we're being asked: a = b*(something in terms of x)
Rearrange our original equation
\(a=b*(\frac{100}{x})\)
Answer: E
We can check by testing values. When testing values, it's important to avoid values that might give false positives. You want numbers that are easy to work with, but will give you unique answers.
let a = 90 and x = 20, then b = 18
\(b*(\frac{100}{x}) = 18*(\frac{100}{20}) = 90\)
Checks out.
If instead I had chosen a = 100 and x = 10, then b = 10. Then b*10 = a, and both answers C and E could work. It's not always easy, but one should always try to choose numbers that will give different results for each answer choice.
