SOLUTION: UNFINISHED
Mary and Richard worked as a team to solve the following problem.
The homecoming dance at Liberty High School happened last Saturday. Many students bought
Algebra ->
Systems-of-equations
-> SOLUTION: UNFINISHED
Mary and Richard worked as a team to solve the following problem.
The homecoming dance at Liberty High School happened last Saturday. Many students bought
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Question 1174290: UNFINISHED
Mary and Richard worked as a team to solve the following problem.
The homecoming dance at Liberty High School happened last Saturday. Many students bought tickets in advance for $5 each. Other students bought tickets at the door for $7 each. In all, 290 students attended the dance and $1790 was the total for all ticket sales. Find out how many students bought tickets in advance and how many bought tickets at the door.
Mary decided to use a single variable (x), while Richard decided to use two (x and y). The students defined their variable(s) as shown below.
Mary: x = # of tickets purchased at the door
290 � x = # of tickets purchased in advance
Richard: x = # of tickets purchased at the door
y = # of tickets purchased in advance
As a team, help Mary write a single mathematical equation and help Richard write a system of equations to solve the problem. Solve the problem using each student�s method. Use a Guess and Check table if needed. How can you tell that you are correct? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! x and 290-x is the one variable method
5x+7(290-x)=1790
-2x+2030=1790
-2x=-240
x=120 at $5 ($600) advance
290-x=170 at $7 ($1190) at the door
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x+y=290
5x+7y=1790
-5x-5y=-1450
2x=340
x=170 at the door or $1190 at the door
y=120 in advance or $600 advance
