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Ratio and Proportion: 0.5:20 :: X:200
- A. X = 50
- B. X = 4
- C. X = 5
- D. X = 25
Correct Answer: A
Rationale: To solve this proportion problem, you need to set up the ratio 0.5/20 equal to X/200. Cross-multiply to solve for X, which gives you 0.5 — 200 = 20X. Simplifying this, you get 100 = 20X, and then by dividing both sides by 20, you find that X = 5. Therefore, the correct answer is A, X = 50.
You may also like to solve these questions
Subtract 2 5/8 - 7/8 and reduce
- A. 1 & 5/8
- B. 1 & 1/4
- C. 1 & 6/8
- D. 1 & 3/4
Correct Answer: D
Rationale: To subtract fractions, ensure the denominators are the same, then subtract the numerators. In this case, 2 5/8 - 7/8 = (2 - 1) 5/8 = 1 5/8. Since 5/8 cannot be further simplified, the answer is 1 & 5/8 in mixed number form. However, for the final answer in reduced form, 5/8 can be simplified to 4/8, which is equivalent to 1/2. Therefore, the correct reduced answer is 1 & 3/4, making choice D the correct answer.
How many shipping labels are needed each day if 9 boxes are shipped, and each box must contain 3 shipping labels?
- A. 7
- B. 3
- C. 27
- D. 24
Correct Answer: C
Rationale: To determine the total number of shipping labels required, you need to multiply the number of boxes by the number of shipping labels per box. In this case, 9 boxes * 3 shipping labels per box = 27 shipping labels needed each day. Therefore, the correct answer is 27.
How many cakes are needed to provide 24 servings for a class of 70 students and 3 staff members?
- A. 4
- B. 2
- C. 3
- D. 5
Correct Answer: A
Rationale: To calculate the total number of servings needed, we add the number of students and staff members: 70 students + 3 staff members = 73 individuals. Next, we divide the total servings required by the servings per cake: 73 · 24 = 3 with a remainder of 1. Since each cake provides 24 servings, we need 4 cakes to accommodate 73 servings, ensuring there are enough servings for everyone in the class.
Which fraction represents the largest value?
- A. 3/7
- B. 3/6
- C. 3/9
- D. 3/8
Correct Answer: B
Rationale: To determine the largest fraction when the numerators are the same, compare the denominators. A smaller denominator indicates a larger fraction as it represents more significant parts of a whole. In this case, the fractions all have a common numerator of 3. Comparing the denominators, 6 is the smallest, making 3/6 the largest fraction. Therefore, 3/6 represents the largest value among the options. Remember, when fractions have the same numerator, the fraction with the smaller denominator is larger as it represents a larger portion of the whole.
A woman received a bottle of perfume as a present. The bottle contains 3/4 oz of perfume. How many milliliters is this?
- A. 20.0 ml
- B. 23.0 ml
- C. 22.5 ml
- D. 22.0 ml
Correct Answer: C
Rationale: To convert ounces to milliliters, we know that 1 fluid ounce (oz) is approximately equal to 29.5735 milliliters (ml). Therefore, 3/4 oz of perfume is equal to (3/4) x 29.5735 ml. Calculating this gives us approximately 22.18 ml, which can be rounded to 22.5 ml. Hence, the correct answer is 22.5 ml. This conversion is essential in various fields, especially in industries where precise measurements are required, such as pharmaceuticals, chemistry, and cooking.