Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 25

Tickets for a train trip sell for the following prices: First-class tickets \(\$ 6.00\) Second-class tickets \(\$ 3.50\) Which of the following expressions represents the average ticket price for all tickets sold if the station sells 110 first-class and 172 second-class tickets? A. \(\frac{110+172}{2}\) B. \(\frac{110(6.00)+172(3.50)}{2}\) C. \(\frac{(110+172)+4.75}{110+172}\) D. \(\frac{110(6.00)+172(3.50)}{110+172}\)

Short Answer

Expert verified
The short answer to the question is: D. \[\frac{110(6.00) + 172(3.50)}{110 + 172}\]

Step by step solution

01

1. Calculate the total amount spent on first-class tickets.

Let's calculate the total amount spent on first-class tickets. We multiply the number of first-class tickets sold (110) by the price of a first-class ticket (\(6.00\)): \[110 \times 6.00 = 660.\]
02

2. Calculate the total amount spent on second-class tickets.

Now, let's calculate the total amount spent on second-class tickets. We multiply the number of second-class tickets sold (172) by the price of a second-class ticket: \[172 \times 3.50 = 602.\]
03

3. Calculate the total amount spent on all tickets.

Next, let's find the total amount spent on all the tickets, by adding the amount spent on first-class tickets and second-class tickets: \[660 + 602 = 1262.\]
04

4. Calculate the total number of tickets sold.

We need to find the total number of tickets sold (both first-class and second-class). We sum up the number of first-class tickets sold (110) and the number of second-class tickets sold (172): \[110 + 172 = 282.\]
05

5. Calculate the average ticket price for all tickets sold.

Finally, we will calculate the average ticket price for all tickets sold by dividing the total amount spent on all tickets by the total number of tickets sold: \[\frac{1262}{282} = 4.475.\] Comparing the result to the given expressions, we find that option D is the correct one: \[\frac{110(6.00) + 172(3.50)}{110 + 172}.\]

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Universal Products has 78 employees. If twice as many women work for Universal as men, how many women work for Universal? A. 52 B. 42 C. 26 D. 16

The author claims that prospective employees can take steps to better their odds of employment. Drag two actions that the author uses to support this claim into the boxes below. (For this practice test, write the action letters in the boxes.) (a) Work for good grades in college to make up for lack of experience (b) Donate your time to charitable organizations (c) Apply for jobs within your college major to increase your odds of landing a job (d) Carefully explain gaps in work history (e) Anticipate questions that might arise when applying for a job

Evaluate \(3 x(x-2 a)^{-x}\), if \(x=-2\) and \(a=0.5\).

Which of the following is NOT an example of passive protection? A. A chameleon changes its color to blend in with a leaf in order to avoid predators. B. The nonpoisonous scarlet kingsnake develops coloration very similar to that of the poisonous eastern coral snake. C. An orchid flower mimics a female insect in order to lure male insects to it so the flower can be pollinated. D. An edible vine adapts its leaves to match the inedible plant that it is climbing.

Traveling at an average speed of 58 miles per hour, Terence drives 145 miles. Three hours later, Terence makes the return trip at the same speed. How much total time elapses between Terence's original departure and final return? A. 2.5 hours B. 5 hours C. 5.5 hours D. 8 hours
See all solutions

Recommended explanations on English Textbooks

Lexis and Semantics Summary

Read Explanation

Morphology

Read Explanation

Discourse

Read Explanation

Language Acquisition

Read Explanation

Language and Social Groups

Read Explanation

Lexis and Semantics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free