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MATH HOMEWORK HELP!! PLEASE!?

ok so i really need help with this homework!!

I will help you with #3 so that you can get practice with 1 and 2.

Step 1: Identify the problem and the given:
Audience of 1000
Total Receipt of $4800
Tickets: $4 for Students, $6 for non-students,
Magician Receives: $2.50 and $4.50 respectively.
What is the minimum amount of money the magician will receive?

Step 2: Issue out variables:
Audience (A) = 1000
Total Money (T) = 4800
Tickets: Students (S) = 4; Non-Students (N) = 6
Magician Profit respectively: Students (S) = 2.5; Non-Students (N) = 4.5

Step 3: Making Sense:
We know that the total audience (students + non-students) equals 1000)
so,
S + N = 1000
Now, we know that the total amount of money made (by school is 4 for students and 6 for non-students) equals 4800.
so,
4S + 6N = 4800
(the 4 and the 6 represent the money charged per students and non-students)
Now we know that the magician will receive 2.5 for every student and 4.5 for every non-student.
so,
2.5S + 4.5N = Magician Profit (Mp)
thus,
2.5S + 4.5N = Mp

Step 4: Solution: Finding Mp using the first two equations we have developed.

S + N = 1000
4S + 6N = 4800

Fist let us find one variable first and then the other.
We will need to cancel one of the variables in order for us to successfully combine (add +) the two equations. So we multiply by a negative number (but we have to do it for the whole equation). Note: Keep one of the equations as is...
so we multiply one and keep the other the same, (the order or which one you do does not matter but it is easier to keep the = positive when you add).

-4[S + N = 1000] => -4S + (- 4N) = -4000 => -4S - 4N = -4000
+
4S + 6N = 4800
______________

so,

-4S - 4N = -4000
+
4S + 6N = 4800
______________
=> 2N = 800

Step "I don't know what step it is": Solve for the Variable:
so,

2N = 800

so,

N = 800/2

so,

N = 400

Now that we have a variable solved, we can plug it into any of the two equations and solve for the other variable.

ie,

S + N = 1000

so,

S + 400 = 1000

thus,

S = 1000 - 400

S = 600

Step "I have no further Idea":

So to find out the amount of profit the magician will make (Mp), we can plug in the numbers for the variables to the equation.

2.5S + 4.5N = Mp

2.5*(600) + 4.5*(400) = Mp

so,

1500 + 1800 = Mp

thus,

3300 = Mp

$3300 = Magician Profit

"For that amount and as a Chemist, I wouldn't mind putting up a Magic Show!"

You can solve other problems using similar methods.

JACT