You are selling tickets to a football game. Student tickets cost $4 general admission tickets cost $7. You sell 241 tickets and collect $1315. How many of each type of ticket did you sell?

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Answer 1 · 2018-06-08T17:04:02

117 General Admission Tickets

124 Student Tickets

Let student tickets be #s# and general admission be #g#

We sold 241 tickets so:

#s+g=241#

we got $1315 selling #s# tickets for $4 and #g# tickets for $7 so:

#4s+7g=1315#

Now we have two equations with two unknowns, we can solve using substitution:

#s+g=241#

#s=241-g#

Then put that value in the other equation:

#4s+7g=1315#

#4(241-g)+7g=1315#

#964-4g+7g=1315#

#3g=351#

#g=117#

So we sold 117 general admission, to solve for students use either of the original equations:

#s+g=241#

#s+(117)=241#

#s=241-117#

#s=124#