/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 433 At a concert, \(1,600聽in ticket... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q. 433 (page 411)

At a concert, \(1,600in tickets were sold. Adult tickets were \)9each and children鈥檚 tickets were $4 each. If the number of adult tickets was 30 less than twice the number of children鈥檚 tickets, how many of each kind were sold .

Short Answer

Expert verified

The number of tickets for children were85and140tickets for adults.

Step by step solution

01

Step 1. Given information

Total money of all tickets=$1600

Price of adult ticket=$9

Price of children ticket=$4

02

Step 2. Assumption of variables

Let the number of child ticket be x

Therefore, according to the question,

adult ticket will be2x-30

The total will be price of child ticket 4x

The price of adult ticket will berole="math" localid="1647183683467" 9(2x-30)

03

Step 3. Solution of the equation

Now, we can write the equation as,

4x+9(2x-30)=16004x+18x-270=160022x-270=160022x=1600+270x=85

Therefore,

2x-30=2脳85-30=140.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

If a triangle has sides 14 centimeters and 18 centimeters and the perimeter is 49 centemeters, how long is the third side?

One angle of a right triangle measures 36.5degrees. What is the measure of the other small angle?

Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of quarters. How many of each coin does he have?

John has \(175in \)5and \(10bills in his drawer. The number of \)5 bills is three times the number of $10bills. How many of each are in the drawer?

Matt and Chris leave their uncle鈥檚 house in Phoenix at the same time. Matt drives west on I-60 at a speed of 76miles per hour. Chris drives east on I-60 at a speed of 82miles per hour. How many hours will it take them to be 632miles apart?
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Geometry

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.