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15:3 = x:5. Find the value of x. (Enter whole number only.)
- A. 20
- B. 25
- C. 30
- D. 35
Correct Answer: B
Rationale: To find the value of x, we can set up a proportion: 15/3 = x/5. Simplifying this, we get 5 = x/5. Multiplying both sides by 5 gives us x = 25. Therefore, the correct answer is B (25). Choice A (20) is incorrect because it does not satisfy the proportion. Choices C (30) and D (35) also do not fit the proportion and are therefore incorrect options.
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Divide: 18 ÷ 0.12 =
- A. 150
- B. 180
- C. 15
- D. 16
Correct Answer: A
Rationale: To divide 18 by 0.12, we can convert the divisor to a whole number by moving the decimal point two places to the right, making it 12. Now, we perform the division 18 ÷ 12 = 1.5. However, since we initially moved the decimal point in the divisor, we must move it back in the quotient to get the final answer of 150.
Choice A is correct (150) because it correctly follows the steps of dividing 18 by 0.12 and adjusting for the decimal point.
Choices B, C, and D are incorrect because they do not accurately represent the result of dividing 18 by 0.12 using the correct decimal manipulation. Choice B (180) is the result of a simple division of 18 by 0.12 without considering the decimal point adjustment. Choice C (15) and Choice D (16) are incorrect results obtained without the proper conversion of the decimal divisor.
After spending $75.64 at one store and $22.43 at the next store, how much money does the shopper have left if they started with $100.00?
- A. $1.93
- B. $5.00
- C. $0.72
- D. $20.13
Correct Answer: A
Rationale: To find out how much money the shopper has left, you need to add the total spent at both stores: $75.64 + $22.43 = $98.07. Next, subtract this total from the initial amount of $100.00: $100.00 - $98.07 = $1.93. Therefore, the shopper has $1.93 remaining after shopping at both stores. This calculation accurately determines the correct amount of money left after the purchases, making choice A the right answer.
What is the result of adding 2/3 + 4/9?
- A. 8/15
- B. 9/9 = 1
- C. 6/12 = 1/2
- D. 10/9 = 1 & 1/9
Correct Answer: D
Rationale: To add fractions, you need to find a common denominator. In this case, the least common multiple of 3 and 9 is 9. To add 2/3 + 4/9, convert 2/3 to have a denominator of 9 by multiplying the numerator and denominator by 3, which gives you 6/9. Now, you can add 6/9 + 4/9 to get 10/9. However, 10/9 can be simplified to 1 & 1/9, making choice D the correct answer.
A new mother changes her baby's diaper 6 times a day, on average. How many diapers will the child use in a year?
- A. 2,190
- B. 2,200
- C. 2,500
- D. 1,800
Correct Answer: A
Rationale: To calculate the total number of diapers used in a year, you need to multiply the daily diaper changes (6 diapers) by the number of days in a year (365): 6 — 365 = 2,190. Therefore, the correct answer is 2,190 diapers.
When dividing 1/9 by 2/3, what is the result?
- A. 1/6
- B. 3/18
- C. 1/3
- D. 2/3
Correct Answer: A
Rationale: To divide fractions, you multiply by the reciprocal of the divisor. In this case, 1/9 divided by 2/3 is the same as 1/9 multiplied by 3/2. Multiplying these fractions results in 3/18. To simplify the result, divide both the numerator and denominator by their greatest common divisor, which is 3 in this case. Dividing 3 by 3 results in 1, and dividing 18 by 3 results in 6. Therefore, 3/18 simplifies to 1/6. Thus, the correct answer is choice A, 1/6.