Carcass wrote:
\(x>0\),\(y>0\), and 7 percent of x is equal to 11 percent of y
Quantity A |
Quantity B |
x |
y |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
We can convert the words in the following way to math notations.
"
of" \(\rightarrow \cdot\) (multiplication)
"
percent" \(\rightarrow \frac{1}{100}\)
"
is equal to" or "
is" \(\rightarrow =\)
Then we have the expression \(7(\frac{1}{100})\cdot x = 11(\frac{1}{100})\cdot y\), which is equivalent to \(7x = 11y\) by multiplying both sides by \(100\).
Then we have \(x = \frac{11}{7} \cdot y > y\) or \(x > y\) since \(x\) and \(y\) are positive numbers and we have \(\frac{11}{7} > 1\).
Therefore, A is the right answer.