Wednesday

September 17, 2014

September 17, 2014

Posted by **harry** on Friday, January 1, 2010 at 1:35pm.

1) each adult ticket costs $8 and each child ticket costs $5. the total takings are 2300.

Write an equation to represent this information.

2) solve algebraically the simultaneous equations to find the values of a and c.

i think the first one is 8a + 5c = 2300 but i'm not sure about the second one.

please help

- math-need information -
**MathMate**, Friday, January 1, 2010 at 2:18pmThe question as it is will allow you to formulate one equation which you did correctly.

It is normal that the question also tells you how many tickets have been sold in all. The total number of tickets sold should range between 289 to 460. This way, you can formulate a second equation of the form

a+c=N where 289≤N≤460

If this information is not given, there are many possible solutions.

- math -
**harry**, Friday, January 1, 2010 at 3:07pmforgot to write it, the school sells 370 tickets

- math -
**MathMate**, Friday, January 1, 2010 at 3:41pmSo the second equation would be

a + c = 370 ....(2)

and the first equation is as you had it:

8a + 5c = 2300 ....(1)

You can solve it using substitution, namely, using (2),

a=370-c

and substitute a into equation (1) to get

8(370-c)+5c = 2300

Solve for c and subsequently for a.

Don't forget to put back your answers into equations (1) and (2) for a check.

**Answer this Question**

**Related Questions**

math hurry please - Each child ticket for a ride costs $3, while each adult ...

math - a movie theater charges $7 for an adult's ticket and $4 for a child's ...

Math - A movie theater sold a total of 390 adult and child tickets on a certain ...

Algebra - The school that Trevon goes to is selling tickets to a choral ...

math - a ticket booth sold 456 tickets and collected $2311.50 in ticket sales. ...

ALgebra - A theatre production company donated free tickets for their show to ...

algebra - There were a total of 2000 tickets sold at a recent sporting event on ...

Math - Devon purchased tickets to an air show for 9 adults and 2 children. The ...

Algebra - there are a 1000 tickets. Price for children's ticket is 6.5. Adult ...

algebra - Tickets for a play at the community theater cost $4 for an adult and $...