SOLUTION: A total of 855 tickets were sold for a game for a total of $1,060. If adult tickets sold for $2.00 and children's tickets sold for $1.00, how many of each kind of ticket were sold?

Question 666192: A total of 855 tickets were sold for a game for a total of $1,060. If adult tickets sold for $2.00 and children's tickets sold for $1.00, how many of each kind of ticket were sold?
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Establish the variables
x = adult tickets
y = children's tickets
...
Given
x+y=855
2x+1y=1060
...
Rearrange x+y=855 as x=855-y and substitute into the second equation
2(855-y) + y = 1060
1710 - 2y + y = 1060
...
Isolate y
1710 - 1060 = 2y - y
650 = y
children's tickets
...
Rearrange x+y=855 as y = 855-x and substitute into the second equation
2x + 855-x = 1060
Isolate x
2x - x = 1060 - 855
x = 205
adult tickets
...
Check
.....................
Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.
www.MyHomeworkAnswers.com
RELATED QUESTIONS
525 tickets were sold for a game for a total of $987.50. If adult tickets sold for $2.50... (answered by ikleyn)

There were 905 tickets sold for a basketball game for a total of $9,050. If adult tickets (answered by josgarithmetic)

A total of 915 tickets were sold for a game for a total of $1,130. If adult tickets sold... (answered by mananth,ewatrrr)

Admissions prices at a high school football game were $6 for adults and $2 for children.... (answered by stanbon)

Admissions prices at a high school football game were $6 for adults and $2 for children.... (answered by fractalier)

tickets for the show cost $2.00 for adults and $1.50 for children. how many adult tickets (answered by josgarithmetic)

Linda was selling tickets for the school play. she sold 10 more adult tickets than... (answered by josmiceli)

A theater sells adult tickets for $8 and children�s tickets for $5. If a total of $236... (answered by Maths68)

A total of 820 tickets were sold for a game for a total of GHC 9,128.00. If adults’... (answered by ikleyn)