A proposal for a new library was included on an election ballot. A radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. A social media post reported that 15,000 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?
Correct answer: A. 7,500
- A. 7,500
- B. 15,000
- C. 22,500
- D. 45,000
Explanation
To solve the problem, let x be the number of people who voted against the proposal. According to the radio show, 3 times as many people voted in favor, which translates to 3x. The social media post states there were 15,000 more votes in favor, so 3x - x = 15,000. Simplifying gives 2x = 15,000, so x = 7,500. Thus, 7,500 people voted against the proposal. Option B is incorrect because it describes the extra number of people who voted in favor, not those who voted against. Option C is incorrect as it represents the total number of people who voted in favor. Option D is a calculation error, as no group of voters matches this number.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? support@testustad.com
About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
Practise Quantitative Reasoning
625 free Quantitative Reasoning MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 27 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Quantitative Reasoning questions
The minimum value of x is 12 less than 6 times another number n. Which inequality shows the possible values of x ?
A circle has center O, and points R and S lie on the circle. In triangle ORS, the measure of ∠ROS is 88°. What is the measure of ∠RSO, in degrees?
What length, in centimeters, is equivalent to a length of 51 meters? (1 meter = 100 centimeters)
In the figure, lines m and n are parallel. If x = 6k + 13 and y = 8k − 29, what is the value of z ?
In triangle JKL, 24/51= cos(K ) and angle J is a right angle. What is the value of cos(L) ?
The dot plot represents the 15 values in data set A.Data set B is created by adding 56 to each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?