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Mathematics 21 Online
OpenStudy (anonymous):

At the movie theatre, child admission is $6.10 and adult admission is $9.50 . On Thursday, 144 tickets were sold for a total sales of $1085.80 . How many adult tickets were sold that day?

OpenStudy (anonymous):

@jigglypuff314 I have a couple more I need you to assist me with.

OpenStudy (misty1212):

HI!!

OpenStudy (misty1212):

we need a variable, lets say the number of adult ticket sold are \(x\) then since the total is \(144\) the number of children tickets sold is \(144-x\)

OpenStudy (anonymous):

Ok.

OpenStudy (misty1212):

total amount for adult tickets is \[9.50x\] and for the childrens would be \[6.10(144-x)\] giving a grand total of \[9.50x+6.10(144-x)\] which you know is 1085.8

OpenStudy (misty1212):

set \[9.50x+610(144-x)=1085.80\] and solve for \(x\)

OpenStudy (anonymous):

Right.

OpenStudy (misty1212):

probably easier to move the annoying decimal over one spot and solve \[95x+61(144-x)=10858\]

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

then combine like terms

OpenStudy (anonymous):

144.46994172

OpenStudy (misty1212):

actually you best multiply out using the distributive property first, then combine like terms then solve for \(x\)

OpenStudy (anonymous):

61

OpenStudy (misty1212):

whatever you did, the answer is "how many tickets" etc so it best be a whole number yeah 61 looks a lot better

OpenStudy (anonymous):

good job

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