Tickets of a performance cost $3 for ga and $2 with id

Question

 
Tickets of a program at college cost ?$3

for general admission or ?$2

with a student ID. If 179

people paid to see a performance and ?$431

was? collected, how many of each type of ticket were? sold?what formula would I use to get started 

Answer 1

There are 2 equations (amount it costs and the number of attendee). 

 

For cost since students cost $2 and general cost $3 and they made $431.

 

2s+3g=431

 

and the total people is 179 so

 

s+g=179.

 

so g=179-s and substitution into the 1st equation gives

2(179-g)+3G=431. 

358-2g+3g =431

g=431-358=73

 

so s=179-73=106. The answers check out.