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SAT Translating Word Problems

If $$2$$ less than $$8$$ times a number is equal to $$11$$, what is $$9$$ times the number?

(A) $$\ \ 1\frac{5}{8}$$
(B) $$\ \ 2$$
(C) $$\ \ 14$$
(D) $$\ \ 14\frac{5}{8}$$
(E) $$\ \ 16\frac{1}{2}$$

When the number $$n$$ is divided by $$8$$, the result is the same as when $$8$$ is subtracted from $$n$$. What is the value of $$14n$$?

(A) $$\ \ 6$$
(B) $$\ \ 8$$
(C) $$\ \ 14$$
(D) $$\ \ 64$$
(E) $$\ \ 128$$

$$8n-42$$ is less than $$24$$.

Which of the following values for $$n$$ is the largest to satisfy the statement above?

(A) $$\ \ 6$$
(B) $$\ \ 7$$
(C) $$\ \ 8$$
(D) $$\ \ 9$$
(E) $$\ \ 10$$

If $$\frac{6}{5}$$ of a number is $$102$$, what is $$\frac{4}{5}$$ of the number?

(A) $$\ \ \frac{24}{25}$$

(B) $$\ \ \frac{2448}{25}$$

(C) $$\ \ \frac{408}{5}$$

(D) $$\ \ 68$$

(E) $$\ \ 85$$

If $$y$$ equals $$74$$ percent of $$m$$ and $$m$$ equals $$78$$ percent of $$n$$, which of the following expresses $$y$$ in terms of $$n$$?

(A) $$\ \ 0.5772\%\ \text{of}\ n$$

(B) $$\ \ 57.72\%\ \text{of}\ n$$

(C) $$\ \ 74\%\ \text{of}\ n$$

(D) $$\ \ 152\%\ \text{of}\ n$$

(E) $$\ \ 5772\%\ \text{of}\ n$$

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