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# SAT Algebra Word Problems

Alice spends $$3$$ hours a week studying at school and $$9$$ hours a week studying at home. What fraction of the week does she spend studying?

(A) $$\ \ \frac{7}{168}$$

(B) $$\ \ \frac{9}{168}$$

(C) $$\ \ \frac{1}{14}$$

(D) $$\ \ 12$$

(E) $$\ \ 168$$

Book A costs $$7$$ times more than book B, and book C costs $$2$$ times more than book B. If book C costs $$26$$ dollars, what is the price of book A?

(A) $$\ \ \7$$
(B) $$\ \ \13$$
(C) $$\ \ \26$$
(D) $$\ \ \31$$
(E) $$\ \ \91$$

Adam and Bob baked cookies for their soccer team. Adam baked $$2$$ fewer cookies than Bob. If Bob baked $$b$$ cookies, in terms of $$b,$$ what percent of the total number of cookies did Adam bake?

(A) $$\ \ \frac{(b-2)}{100(2b-2)}$$

(B) $$\ \ \frac{b-2}{2b-2}$$

(C) $$\ \ \frac{1}{50}$$

(D) $$\ \ \frac{100(b-2)}{2b-2}$$

(E) $$\ \ \frac{100(b+2)}{2b+2}$$

Nick got $$\20$$ for his birthday. He wants to buy a camera that costs $$\ 118.$$ If each month he saves $$\7,$$ in how many months will he be able to purchase the camera?

(A) $$\ \ 14$$
(B) $$\ \ 13$$
(C) $$\ \ 12$$
(D) $$\ \ 11$$
(E) $$\ \ 10$$

At the premiere of a theatre production, a theatre sold $$90$$ tickets. If it charged adults $$\ 17$$ per ticket and students $$\ 12$$ per ticket, and if it made a revenue of $$\ 1380$$, how many tickets were sold to adults?

(A) $$\ \ 12$$
(B) $$\ \ 17$$
(C) $$\ \ 30$$
(D) $$\ \ 60$$
(E) $$\ \ 90$$

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