A software company is selling a new game in a standard edition and a collector's edition. The box for the standard edition has a volume of 20 cubic inches, and the box for the collector's edition has a volume of 30 cubic inches. The company receives an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, s, and collector's edition games, c, that were ordered?
Correct answer: A. 75 - s = c20s + 30c = 1,870
- A. 75 - s = c20s + 30c = 1,870
- B. 75 - s = c30s + 20c = 1,870
- C. s - c = 7525(s + c) = 1,870
- D. s - c = 7530s + 20c = 1,870
Explanation
Choice A is correct because it correctly sets up the system of equations based on the information provided. The equation 75 − s = c represents the total number of games ordered, and the equation 20s + 30c = 1,870 represents the total volume of the order. The other options either incorrectly swap the volumes for standard and collector's editions or make assumptions that do not align with the given scenario.
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 scatterplot shows the densities of 7 planetoids, in grams per cubic centimeter, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown.According to the scatterplot, which of the following statements is true about the relationship between a planetoid's average distance from the Sun and its density?
In the equation (ax + 3)2 = 36, a is a constant. If x = −3 is one solution to the equation, what is a possible value of a?
Which of the following ordered pairs (x, y) satisfies the inequality 5x −3y < 4?I. (1, 1)II. (2, 5)III. (3, 2)
Theresa ran on a treadmill for thirty minutes, and her time and speed are shown on the graph above. According to the graph, which of the following statements is NOT true concerning Theresa's run?
In the figure, what is the value of x?
The formulas are used in medicine to estimate the body surface area A, in square meters, of infants and children whose weight w ranges between 3 and 30 kilograms and whose height h is measured in centimeters.Based on Current's formula, what is w in terms of A ?