SOLUTION: The cost of a dinner and a dance is 2760 US dollars. If the dinner cost 16% more than the dance ticket. What is the cost of the dinner?

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: The cost of a dinner and a dance is 2760 US dollars. If the dinner cost 16% more than the dance ticket. What is the cost of the dinner?       Log On


   

Question 1035998: The cost of a dinner and a dance is 2760 US dollars. If the dinner cost 16% more than the dance ticket. What is the cost of the dinner?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the cost of the dinner = x
The cost of the dance = +2760+-+x+
given:
+x+=+1.16%2A%28+2760+-+x+%29+
+x+=+3201.6+-+1.16x+
+2.16x+=+3201.6+
+x+=+1482.22+
and
+2760+-+x+=+2760+-+1482.22+
+2760+-+x+=+1277.78+
-----------------------
The cost of the dinner is $1,482.22
-------------------------------
check:
+1482.22+%2B+1277.78+=+2760+
+2760+=+2760+
OK
Check my math!