21. For opening night of a school production of Our Town, 410 tickets were sold. Students paid $6 each, while nonstudents paid $14 each. If a total of $3300 was collected, how many students and how many nonstudents attended?

21. For opening night of a school production of Our Town, 410 tickets were sold. Students paid $6 each, while nonstudents paid $14 each. If a total of $3300 was collected, how many students and how many nonstudents attended?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....

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Question

Can you help with 21? I need help setting it up

18.
The Toyota Camry and the Honda Civic were the top-selling passenger cars in the United States
in 2016. Honda Civic sales were 22 thousand less than Toyota Camry sales, and 756 thousand of
these two cars were sold. How many of each model of car were sold?
19.
During the 115th Congress, the U.S. Senate had a total of 98 Democrats and Republicans. There
were 6 fewer Democrats than Republicans. How many Democrats and Republicans were there in
the Senate?
20.
In one week, an office manager booked 55 tickets, divided among three airlines. He booked 7
more tickets on American Airlines than on United Airlines. On Southwest Airlines, he booked 4
more than twice as many tickets as on United. How many tickets did he book on each airline?
21.
For opening night of a school production of Our Town, 410 tickets were sold. Students paid $6
each, while nonstudents paid $14 each. If a total of $3300 was collected, how many students and
how many nonstudents attended?
22.
Two friends are comparing how much cash they each have. Abby has two dollars less than three
times as many dollars as Tom. If Abby has $52, use algebra to determine how much money Tom
has.
An Uber driver charges a base rate of $5 along with 20 cents per mile driven. A Lyft driver
charges a base rate of $4.40 along with 25 cents per mile driven. Use algebra to determine for
what number of miles the charges will be the same.
23.
24.
In the nineteenth century, the United States minted two-cent and three-cent pieces. Frances has
three times as many three-cent pieces as two-cent pieces, and the face value of these coins is
IHow monLof each denomination does she have?

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