SOLUTION: there were 429 people nat a play. admission was $1 for adults and $.75 for children. the receits were $372.50. How many adults and how many children attended the play?

Question 5028: there were 429 people nat a play. admission was $1 for adults and $.75 for children. the receits were $372.50. How many adults and how many children attended the play?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let A = # of adults.
Let C = # of children.
A + C = 429 Rewrite as: C = 429-A and substitute into the equation below:
($1.00)A + ($0.75)C = $372.50
($1.00)A + ($0.75)((429-A) = $372.50 Simplify and solve for A
($1.00)A + $321.75-$0.75A = $372.50 Subtract $321.75 from both sides.
$1.00A - $0.75A = $50.75
$0.25A = $50.75 Divide both sides by $0.25
A = 203 There were 203 adults in attendance.
C = 429-A
C = 429-203
C = 226 There were 226 children in attendance.
Check:
203($1.00) + 226($0.75) = $203.00 + $169.50 = $372.50

RELATED QUESTIONS
there were 429 people at a play. admission was $1 for adults and $0.75 for children. the... (answered by CharStar)

There were 510 people at a play. The admission price was $3.00 for adults and $1.00 for... (answered by mananth)

here were 429 people at a play. Admission was S1 each for adults and 75 cents each for... (answered by Alan3354,MathTherapy,greenestamps)

there are 429 people at a play. admission was $1.50 for adults and $0.75 for children the (answered by math_tutor2020,ikleyn,greenestamps)

There were 411 people at a play. Admission was $1.00 for adults and $.75 for children.... (answered by checkley77)

there were 620 people at a play. The admission was $2 for adults and $1 for children. The (answered by josgarithmetic)

There 429 people at a play. Admission was 8$ each for adults and $4.50 each for children. (answered by stanbon)

There 429 people at a play. Admission was $8 each for adults and $4.50 each for children. (answered by ankor@dixie-net.com)

There were 360 people at a play. The admission price was $2 for adults and $1 for... (answered by ewatrrr)