



 
Hi Diane. Let p equal the number of people who planned to come originally and c be the planned cost per person. So the plan was that (p) people would each pay (c) dollars to cover the $500 budget. (p)(c) = 500. Since 5 people failed to show up and pay anything, the $500 had to come from (p  5) people. The cost per person was $5 higher than originally planned, so it was (c + 5) dollars. Thus (p  5) people each paid (c + 5) dollars in order to cover the $500 budget. (p  5)(c + 5) = 500. So you have these two equations with two unknowns and you are asked to find the value of (p  5), the number of people who showed up. From here, I would use the "substitution method" to replace the c in the second equation by its value from the first equation and solve for p. Cheers,  


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