Question 1202625: If 118 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $2.50 and total receipts for the concert was $366.25, how many of each went to the concert?
There were adults and children that attended the concert.
Answer by ikleyn(52754)   (Show Source):
You can put this solution on YOUR website! .
If 118 people attend a concert and tickets for adults cost $3.75
while tickets for children cost $2.50 and total receipts for the concert was $366.25,
how many of each went to the concert?
There were adults and children that attended the concert.
~~~~~~~~~~~~~~~~~~
If the number of adults is "a", then the number of children is (118-n).
With it, write the total money equation in the form
3.75a + 2.50*(118-a) = 366.25 dollars.
Simplify and find "a"
3.75a + 2.50*118 - 2.50a = 366.25
3.75a - 2.50a = 366.25 - 2.50*118
1.25a = 71.25
a = 71/25/1.25 = 57.
ANSWER. 57 adults and 118-57 = 61 children.
CHECK. 57*3.75 + 61*2.50 = 366.25 dollars, total money. ! correct !
Solved.
-----------------
To see many other similar problems solved, look into the lesson
- Typical problems on buying and selling items
in this site.
|
|
|
