farmer juan has 14 acres with an average yield of 17460 eggs per acre the profit per egg is 165 what profit should farmer juan expect

HESI A2

HESI A2 Math

1. Farmer Juan has 14 acres with an average yield of 17460 eggs per acre. The profit per egg is $1.65. What profit should Farmer Juan expect?

A. $403,326
B. $148,145.45
C. $244,440
D. $2,057.79

Correct answer: A

Rationale: To calculate Farmer Juan's profit, multiply the number of acres (14) by the yield per acre (17460 eggs) and by the profit per egg ($1.65): 14 acres * 17460 eggs * $1.65 = $403,326. Therefore, Farmer Juan should expect a profit of $403,326. Choice A is correct as it accurately calculates the total profit based on the given information. Choices B, C, and D are incorrect as they do not correctly compute the total profit from the provided data.

2. After putting ⅓ aside for her share of rent and utilities and spending $75 on groceries, what is left from her weekly paycheck?

A. $150
B. $214.86
C. $204.26
D. $192.76

Correct answer: A

Rationale: If she puts aside 1/3 of her paycheck for rent and utilities, this means she spends 3 portions in total. So, 1 portion represents 1/3 of the paycheck. Since she spends $75 on groceries, it leaves 2 portions. The total amount of 3 portions is the paycheck. To find out one portion, divide the total paycheck by 3: Paycheck = 3 portions. $75 is one portion. Multiply the one portion by 3 to find the total paycheck: $75 * 3 = $225. Subtract the spent amount from the weekly paycheck: $225 - $75 = $150. Therefore, the amount left from her weekly paycheck is $150. The other choices are incorrect because they do not follow the correct calculation based on the given information.

3. A car travels at 60 mph for 5 hours. How far did it travel?

A. 360 miles
B. 240 miles
C. 300 miles
D. 360 miles

Correct answer: C

Rationale: To find the distance traveled, multiply the speed by the time: 60 mph × 5 hours = 300 miles. Choice A (360 miles) and Choice D (360 miles) are incorrect as they do not accurately calculate the distance based on the given speed and time. Choice B (240 miles) is also incorrect as it underestimates the distance traveled.

4. Solve for x: 3x - 5 = 10

A. x = 5
B. x = 10
C. x = 15
D. x = 20

Correct answer: A

Rationale: To solve the equation 3x - 5 = 10, start by isolating x. Add 5 to both sides of the equation to get 3x = 15. Then, divide by 3 on both sides to find x = 5. Therefore, the correct answer is x = 5. Choice B, x = 10, is incorrect because adding 5 to 10 does not yield 10. Choice C, x = 15, is incorrect as adding 5 to 15 does not equal 10. Choice D, x = 20, is incorrect because adding 5 to 20 does not result in 10.

5. What is the probability of rolling an even number on a six-sided die?

A. 50%
B. 16.70%
C. 25%
D. 33.30%

Correct answer: A

Rationale: The correct answer is A, 50%. A standard six-sided die has three even numbers (2, 4, 6) out of six possible outcomes. The probability of rolling an even number is therefore 3 out of 6, which simplifies to 50%. Choices B, C, and D are incorrect because they do not accurately reflect the probability of rolling an even number on a six-sided die.