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# SAT Ratios, Proportions, and 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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