bernard can make 80 per day if he needs to make 300 and only works full days how many days will this take

ATI TEAS 7

TEAS Test Math Prep

1. Bernard can make $80 per day. If he needs to make $300 and only works full days, how many days will this take?

A. 2
B. 3
C. 4
D. 5

Correct answer: C

Rationale: To find out how many days Bernard needs to work to make $300, we divide the total amount he needs by how much he makes per day: $300 / $80 = 3.75 days. Since Bernard can only work full days, he would need to work for 4 days to make $300. Therefore, the correct answer is 4 days. Choice A (2 days) is incorrect because it does not match the calculation based on his daily earnings. Choice B (3 days) is incorrect as the calculated result is not a whole number, so Bernard needs to work for more than 3 days. Choice D (5 days) is incorrect as it exceeds the calculated number of days needed to make $300.

2. Two boxes are stacked, one measuring 4 inches tall and the other 6 inches tall. What is the total height of the stacked boxes?

A. 10 inches
B. 12 inches
C. 8 inches
D. 9 inches

Correct answer: A

Rationale: To find the total height of the stacked boxes, you need to add the height of each box together. Therefore, 4 inches (height of the first box) + 6 inches (height of the second box) = 10 inches, which is the total height of the stacked boxes. Choice B (12 inches) is incorrect because it adds the heights incorrectly. Choice C (8 inches) is incorrect as it does not consider both box heights. Choice D (9 inches) is incorrect as it also does not add the heights accurately.

3. Simplify the expression below. Which of the following is correct? 3.45 * 0.53

A. 1.8285
B. 18.285
C. 0.18285
D. 182.85

Correct answer: A

Rationale: To solve 3.45 * 0.53, multiply the numbers to get 1.8285. Therefore, the correct answer is A. Choice B is incorrect because it incorrectly moves the decimal point. Choice C is incorrect as it is a fraction of the correct answer. Choice D is incorrect as it results from an error in moving the decimal point.

4. At the beginning of the day, Xavier has 20 apples. At lunch, he meets his sister Emma and gives her half of his apples. After lunch, he stops by his neighbor Jim’s house and gives him 6 of his apples. He then uses ¾ of his remaining apples to make an apple pie for dessert at dinner. At the end of the day, how many apples does Xavier have left?

A. 4
B. 6
C. 2
D. 1

Correct answer: D

Rationale: Xavier starts with 20 apples. He gives half of his apples to his sister Emma, which is 20 ÷ 2 = 10 apples, leaving him with 10 apples. Then, he gives 6 apples to his neighbor Jim, leaving him with 10 - 6 = 4 apples. Using ¾ of his remaining 4 apples for the pie, he uses 3/4 x 4 = 3 apples. Therefore, he has 4 - 3 = 1 apple left at the end of the day. Choice D, 1 apple, is the correct answer. Choices A, B, and C are incorrect because Xavier ends up with 1 apple remaining, not 4, 6, or 2.

5. Simplify the following expression: (1/4) × (3/5) ÷ 1 (1/8)

A. 8/15
B. 27/160
C. 2/15
D. 27/40

Correct answer: C

Rationale: First, convert the mixed number 1 (1/8) into an improper fraction: 1 (1/8) = 9/8. Now, simplify the expression: (1/4) × (3/5) ÷ (9/8). To divide by a fraction, multiply by its reciprocal: (1/4) × (3/5) × (8/9) = 24/180 = 2/15. Thus, the simplified expression is 2/15. Choice A (8/15) is incorrect because the correct answer is 2/15. Choice B (27/160) is incorrect as it is not the result of the given expression. Choice D (27/40) is incorrect as it does not match the simplified expression obtained.