Question 164690
200 more adult admission tickets...than children admission tickets:


a=c+200


adults=$11 each
children=$8 each
total receipts=at least $5000



{{{11a+8c>=5000}}}



System:
a=c+200
{{{11a+8c>=5000}}}


Use substitution
{{{11(c+200)+8c>=5000}}}


Distribute
{{{11c+2200+8c>=5000}}}


Combine like terms
{{{19c+2200>=5000}}}


Subtract 2200 from both sides
{{{19c>=2800}}}


Divide both sides by 19
{{{c>=148}}}--------this is rounded up from 147.3, since you can't sell .3 of a ticket.


a=c+200
a=148+200
a=348


{{{a>=348}}}----since c might be more than 148.


Answer:
148 childrens tickets
348 adults tickets