586 people attend a banquet at disney. residents paid 12.95 and non -residents paid 17.95 if disney made 9423.79 from ticket sales for the event how many non residents and residents attended

Answer 1

The trick here is that there is a $.09 overage at the ticket sales cash register. So, the actual tickets sales are $9423.70. Small errors do happen in real life. Then...

Let X = number of residents and Y = number of non-residents, X + Y = 586

and (12.95) X + (17.95) Y = 9423.70

Let Y = 586 - X and substitute giving (12.95) X + (17.95) (586 - X) = 9423.70

Therefore, X = 219 substituting 219 + Y = 586 then Y = 367

residents = 219 and non-residents = 367

Answer 2

So Anthony V.,

how do you transform a word problem into a math problem? Hope you know by now -- set up a variable (let's say the number of residents), and write all the information in the problem in terms of that variable. Then solve for the value of the variable!

-- Cheers, --Mr. d.