A company that provides whale-watching tours takes groups of 21 people at a time. The company'srevenue is 80 dollars per adult and 60 dollars perchild. If the company's revenue for one group consisting of adults and children was 1,440 dollars,how many people in the group were children?
Correct answer: C. 12
- A. 3
- B. 9
- C. 12
- D. 18
Explanation
To solve this problem, let x be the number of adults and y be the number of children. The total number of people is 21, so x + y = 21. The revenue equation is 80x + 60y = 1440. Substitute x = 21 - y into the revenue equation: 80(21 - y) + 60y = 1440. Simplify to get: 1680 - 80y + 60y = 1440. Combine like terms to get -20y = -240, then divide both sides by -20 to find y = 12. Therefore, there are 12 children.Other options are incorrect as they do not satisfy both the total number of people and the revenue equations simultaneously.
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 table shows the results of a poll. A total of 803 voters selected at random were asked which candidate they would vote for in the upcoming election. According to the poll, if 6,424 people vote in the election, by how many votes would Angel Cruz be expected to win?
A sample of oak has a density of 807 kilograms per cubic meter. The sample is in the shape of a cube, where each edge has a length of 0.90 meters. To the nearest whole number, what is the mass, in kilograms, of this sample?
The circle has center O, circumference 144π,and diameters PR and QS. The length of arc PS is twice the length of arc PQ. What is the length of arc QR ?
One of the factors of 2x3 + 42x 2 + 208x is x + b, where b is a positive constant. What is the smallest possible value of b ?
y = − 1.5y = x2 + 8x + aIn the given system of equations, a is a positive constant. The system has exactly one distinct real solution. What is the value of a ?
RS = 20ST = 48TR = 52The side lengths of right triangle RST are given. Triangle RST is similar to triangle UVW, where S corresponds to V and T corresponds to W. What is the value of tan W ?