Math word problem

Question

590 people are at a play. The admissions price was $3 for adults and $1 for children. The admissions receipt was $1250. How many adults and how many children attended?

Answer 1

let a=adults

 

let c=children

 

then a+c=590, there are 590 people at the play

 

and 3a+c=1250, the total of the tickets sold to adults and children was $1250.

 

subtract the first equation from the second to eliminate the c variable and create a new equation to solve for a.

 

(3a-a)+(c-c)=1250-590, or

 

2a=660

 

a=330= number of adults

 

to solve for the number of children, use the first equation(easiest)

 

a+c=590

 

c=590-a=590-330

 

c=260=number of children.