The number of tickets sold to adults is 274 and of tickets sold to students is 137.
A system of equations is a set of one or more equations involving a number of variables.
Let the number of tickets sold to adults be x.
And the number of tickets sold to students be y.
A total of 411 tickets were sold for the school play.
x + y = 411
The number of student tickets sold was two times the number of adult tickets sold.
x = 2y
Substitute the value of x in equation 1
[tex]\rm x + y = 411\\\\2y+y=411\\\\3y=411\\\\y =\dfrac{411}{3}\\\\y= 137[/tex]
Substitute the value of y in equation 2
[tex]\rm x = 2y\\\\x= 2\times 137 \\\\x =274[/tex]
Hence, the number of tickets sold to adults is 274 and of tickets sold to students is 137.
Learn more about the system of equations here;
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