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Numbers and Operations

SAT Ratios, Proportions, Percents

         

\[\begin{align} k:m&=9:2\\
9m:n&=2:7 \end{align}\]

Given the ratios above, which of the following is \(k:n\)?

(A) \(\ \ 1:1\)
(B) \(\ \ 1:7\)
(C) \(\ \ 1:9\)
(D) \(\ \ 7:1\)
(E) \(\ \ 9:7\)

What percent of \(20\) is n?

(A) \(\ \ \frac{1}{5}\)

(B) \(\ \ 5\)

(C) \(\ \ \frac{n}{20}\)

(D) \(\ \ 5n\)

(E) \(\ \ 20n\)

If \(-\frac{10}{2x-1} = \frac{6}{5+x},\) and \(x \neq \frac{1}{2}\) and \(x \neq -5,\) which of the following equals \(x?\)

(A) \(\ \ -33\)
(B) \(\ \ -2\)
(C) \(\ \ 0\)
(D) \(\ \ 2\)
(E) \(\ \ 10\)

If the ratio of \(x\) boys to \(y\) girls in a math club is \(5\) to \(8\) which of the following CANNOT equal \(x+y\)?

(A) \(\ \ 13\)
(B) \(\ \ 65\)
(C) \(\ \ 91\)
(D) \(\ \ 109\)
(E) \(\ \ 130\)

The ratio of red, green, and blue marbles in a bag is \(7:14:5.\) If there are \(156\) marbles in the bag, what is the difference between green marbles and blue marbles?

(A) \(\ \ 0\)
(B) \(\ \ 9\)
(C) \(\ \ 26\)
(D) \(\ \ 54\)
(E) \(\ \ 84\)

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