# Tutor profile: Eric S.

## Questions

### Subject: SAT

In a water balloon target game, a player starts with a score of P points. Each time the player hits the target, 25 points are deducted from his score. Each time the player doesn't hit the target but gets within 10 feet of the target, 10 points are deducted from his score. If Paul hit the target twice and got within 10 feet three times (five total throws) and ended up with a score of 40, what is P? a) 40 b) 80 c) 110 d) 120

d) 120 Students not used to the SAT might immediately try coming up with an equation that fits this problem. Sometimes straightforward, "school" math might not be the quickest solution to these problems. While it's certainly possible to use equations to get the answer, I find it easy to use some clever testing strategies. First, let's try to eliminate one answer to narrow our choices. a) 40 should stand out as immediately being too small. This is a game of subtraction. It makes no sense for Paul to start with 40 points and end up with 40 points again. **Pro tip: if you see an answer that is the same as a number in the question, it's probably (though not 100% of the time) wrong.** Next, let's use the answers to guide us. Let's take the answer c for example. Say paul starts with 110 points. If he hits the target twice his score will be 110 - 2(25) or 60. Then he hits within 10 feet three times or 60 - 3(10). His final score will be 30. Too low! Which means answer c) 110 is too low as well! The answer must be d! 120 - 2(25) - 3(10) will give Paul a final score of 40

### Subject: ACT

Despite the rookie being the son of a famous baseball player. He struck out four times in his first game. What is the correct punctuation/grammar between "player and he" in the sentence above? a) no change b) player, he c) player; he d) player--he e) player and he

B is the correct answer. The punctuation between "player and he" marks the split before the first and second part of this sentence. The first (Despite the rookie being the son of a famous baseball player) is a dependent clause because it is incomplete and cannot stand alone. The second part (He struck out four times in his first game) is an independent clause and can stand alone. Therefore, the punctuation that must be placed between them is a comma.

### Subject: Algebra

Eric just got two amazing summer job offers. The first job is at a law firm and an hourly rate of $8.50 per hour and a $250 bonus at the end of summer. The second job is as a receptionist at a doctor's office that offers a flat rate of $11 an hour and no bonus. Eric is planning on working for five-days-a-week, eight hours each day, for six weeks. 1) If Eric wants to make the most money this summer, which job should he choose? Justify your answer by showing your work. 2) Eric decided to take the law firm job. Eric's friend Lindsey decided to take the doctor's office job. After how many hours will the amount of money they earn be equal?

1) The first thing we need to do here is to calculate the total number of hours in the summer: 5 days per week x 8 hours per day x 6 weeks = 240 total hours. Let's then turn each summer job salary into an equation with h representing the number of hours worked and P representing the amount of money Eric would earn. P(law firm) = 8.5h + 250 P(doctor's office) = 11h Finally, let's plug our total hours into these equations to see what Eric's potential earnings will be: P(law firm) = 8.5(240) + 250 = $2290 P(doctor's office) = 11(240) = $2640 As you can see here, Eric would make more money working at the doctor's office despite not receiving a bonus. 2) The keyword here is EQUAL as in when will the amount of money they earn be EQUAL. We can use the same equations from the last problem and let P(law firm) = P(doctor's office). P(law firm) = P(doctor's office) 8.5h + 250 = 11h Solving for h we get 250 = 1.5h h = 166.67 hours or 166 hours and 40 minutes.

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