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At a school concert the total value of tickets sold was $3888. Student tickets sold for $7 and adult tickets sold for $10. The number of adult tickets sold was 6 less than 4 times the number of student tickets. Find the number of student tickets sold.

Sagot :

Number of student tickets sold = 84

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

Let the number student tickets sold = x

Let the number adult tickets sold = y

7x+10y = 3888 -----------i

y = 4x-6 ----------------------ii

Substituting eq ii in i

7x + 10 ( 4x -6) = 3888

7x + 40x - 60 = 3888

47x = 3888+60

x = 3948 / 47

     = 84

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