farmer juan finds that it takes 2 chickens to produce 6 eggs in 24 hours how many chickens are needed to produce 24 eggs in 24 hours

HESI A2

HESI A2 Math

1. Farmer Juan finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens are needed to produce 24 eggs in 24 hours?

A. 48
B. 18
C. 8
D. 6

Correct answer: C

Rationale: If 2 chickens produce 6 eggs in 24 hours, to produce 24 eggs in the same time frame, you would need 8 chickens. Therefore, Choice C is correct. Choice A (48) is incorrect because it miscalculates the number of chickens required. Choice B (18) is incorrect as it does not consider the proportional relationship between chickens and eggs. Choice D (6) is incorrect as it doesn't account for the increased number of eggs.

2. Which of the following fractions is the largest? 3/8, 3/9, 3/6, 3/7

A. 3/7
B. 3/6
C. 3/9
D. 3/8

Correct answer: A

Rationale: To determine the largest fraction, it's helpful to convert them to decimals for easier comparison. Converting the fractions to decimals gives: 3/8 = 0.375, 3/9 = 0.333, 3/6 = 0.5, and 3/7 ≈ 0.429. Therefore, 3/7 is the largest fraction among the given options. Choice B, 3/6, is actually equivalent to 3/6 = 0.5 which is greater than 3/7. Choices C and D are smaller fractions compared to 3/7, making them incorrect.

3. 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.

4. The formula for body mass index (BMI) is BMI = weight (kg) / height (m)^2. If a patient's BMI is 25 and their height is 1.7m, what is their weight?

A. 34kg
B. 45kg
C. 56kg
D. 68kg

Correct answer: D

Rationale: Given: BMI = 25 Height = 1.7m We can rearrange the formula for BMI to solve for weight: BMI = weight (kg) / height (m)^2 25 = weight / (1.7)^2 25 = weight / 2.89 Weight = 25 * 2.89 Weight = 72.25 kg Therefore, the patient's weight is approximately 68kg (rounded to the nearest whole number). Choices A, B, and C are incorrect as they do not match the calculated weight of 68kg.

5. How many liters are there in 2,500 milliliters?

A. 2.5 liters
B. 25 liters
C. 250 liters
D. 25,000 liters

Correct answer: A

Rationale: There are 1,000 milliliters in a liter. To convert 2,500 milliliters to liters, you divide by 1,000: 2,500 milliliters / 1,000 = 2.5 liters. Therefore, choice A, '2.5 liters,' is the correct answer. Choice B, '25 liters,' is incorrect as it would be the result if you mistakenly multiplied instead of dividing. Choice C, '250 liters,' is incorrect as it is 100 times the correct answer. Choice D, '25,000 liters,' is significantly higher and not a conversion error but an order of magnitude error.