SOLUTION: Graduation dinner cost $18 for general adults and only $16 for children. Graduation ticket sales total is $3600. Write an equation that models this situation where a adults at t

Algebra.Com
Question 1188503: Graduation dinner cost $18 for general adults and only $16 for children. Graduation ticket sales total is $3600.
Write an equation that models this situation where a adults at the graduation dinner and c represents children at the graduation dinner.

Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
.

With the given input data, we can write only one equation for two unknown "a" and "c".


This equation is the revenue equation


    18a + 16c = 3600  dollars.


Having this equation only is not enough to solve the problem and to determine the unknowns.


For it, the second equation is necessary.


Usually, the second equation is for the total tickets sold;

but in this problem this total is not given; therefore, the second equation can not be attached.

---------------

On tickets problems,  see the lesson
    - Using systems of equations to solve problems on tickets
explaining and showing different methods of solving such problems.

From this lesson,  learn on how to solve such problems once and for all.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.



RELATED QUESTIONS

Adult tickets for a play cost $20 and child tickets cost $16. If there were 27 people at (answered by jim_thompson5910)
Tickets to the county fair for four adults and five children cost $33. An adults ticket... (answered by mananth)
suppose your school is having a dinner to raise money for new music and art supplies. You (answered by josgarithmetic)
the caterers for grade 8 graduation prepare two different meals: chicken at $12 or past... (answered by Boreal)
fair tickets for 2 adults and 3 children cost $34. An adult ticket costs $2 more than a... (answered by Fombitz,ewatrrr)
Kara purchased train tickets for 3 adults and 4 children. The total cost for 3 adults... (answered by mananth)
The walker family are going swimming. The cost of an adult ticket is 'a' and the cost of... (answered by Fombitz)
prices for a movie are $4 for children and $8 for adults. The total amount of ticket... (answered by josgarithmetic)
write an equation and solve (if you can put a chart please make it) Tickets to the... (answered by josgarithmetic)