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Write an equation system based on the problem. For an instance, x represents the number of $3 tickets sold and y represents the number of $5 tickets sold.
x + y = 40
3x + 5y = 136

Solve the equation system using elimination method. Use elimination of y in order to find the value of x
x + y = 40   (multiplied by 5)
3x + 5y = 136 (multiplied by 1)
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5x + 5y = 200
3x + 5y = 136
------------------ -
 2x        = 64
   x        = 64/2
   x        = 32
The value of x is 32. She sold 32 tickets worth $3

An equation is formed of two equal expressions. The number of $3 tickets sold is 32.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of $3 tickets sold be represented by x, while the number of $5 tickets sold be represented by y. Therefore, the total number of tickets can be written as,

x + y = 40

y = 40-x

Now, the total amount collected by selling the tickets is $136. Therefore, the total amount will be,

3x + 5y = 136

3x + 5(40-x) = 136

3x + 200 - 5x =136

-2x = -64

x =32

Hence, the number of $3 tickets sold are 32.

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