SOLUTION: Adult memberships cost $10. Students $5. The students sold 50 memberships for a total of $400. How many members are adults and how many are students?

Question 615051: Adult memberships cost $10. Students $5. The students sold 50 memberships for a total of $400. How many members are adults and how many are students?

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
x Adult memberships
y Child memberships
Total memberships
1 x + 1 y = 50 .............1
Cost of total memberships
10 x + 5 y = 400 .............2
Eliminate y
multiply (1)by -5
Multiply (2) by 1
-5 x -5 y = -250
10 x + 5 y = 400
Add the two equations
5 x = 150
/ 5
x = 30.00
plug value of x in (1)
1 x + 1 y = 50
30 + y = 50
y = 50 -30
y = 20
y = 20.00
30 Adult memberships
20 Child memberships
m.ananth@hotmail.ca

RELATED QUESTIONS
A club offers single memberships, couple memberships, and family memberships. The club... (answered by chana)

tickets for a play cost $2 for students and $5 for adults. if a total of 500 tickets are... (answered by TimothyLamb)

Middle school earns $1,760 by selling 400 tickets to the school play.tickets cost $5 for... (answered by richwmiller)

A concert audience of 400 people consists of adults, students, and children. The ticket... (answered by ikleyn)

tickets to a local movie were sold at $7.00 for adults and $5.50 for students. If 400... (answered by richwmiller)

Tickets to the ball game are $8 for students and $12 for adults. If you sold three times... (answered by Boreal)

Tickets for a concert were sold to adults for $3 and students for $2 if the total... (answered by nerdybill)

tickets for a concert were sold to adults for $3 and to students for $2. if the total... (answered by oscargut,Mathtut)

Tickets for a concert were sold to adults for $3 and to students for $2. If the total... (answered by Mathtut)