SOLUTION: how do you make a system of equations out of a word problem?

Question 568268: how do you make a system of equations out of a word problem?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Making a system of equations from a word problem is very easy and you have to read slowly and in parts.
2000 tickets were sold in an exhibition on Saturday. The cost of a ticket for an adult is $4 and for a child is $2. The total amount collected on Saturday was $6400. Find the number of adult tickets and child tickets sold on Saturday.

1. Generally there will will be two conditions in a problem. I will explain with the help of the problem
2. First find out what we have to find out in the problem.
In the problem we have to find the number of adult tickets & the number of child tickets sold.
Assume one as x numbers and the other as y numbers
let adult tickets sold be x and child tickets sold be y.
3. Read the first condition. It says total tickets sold = 2000
so x+y =2000 ------------------------(1)
4. Read the second condition. It gives the cost of each adult ticket and the cost of each child ticket.
5. there are x adults and y children. Adult ticket is $4 & child ticket is $2
The amount obtained from selling these tickets is $6400
amount from sale of adult tickets + the amount obtained from child tickets = total money accrued.
one adult ticket cost $4 so amount = 4x
one child ticket costs $2 so amount = 2y
4x+2y= 6400
Now you have two equations to solve for x & y.
The equations are
x+y =2000
4x+2y=6400
Solve for x & y and you have walked through the problem.
m.ananth@hotmail.ca

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