How many child tickets were sold that day?

Question

At the city museum, child admission is $6.80 and adult admission is $9.90 . On Sunday, 146 tickets were sold for a total sales of $1234.60 .

Answer 1

let x be the number of admission tickets for children

let y be the number of admission tickets for adults

 

Total number of tickets sold were 146 , x + y=146 ...Eq1

 

Total cost for tickets 6.8x+9.9y= 1234.6...Eq2

 

two equations two unknowns x=146-y..Eq1

 

Substitute Eq 1 in 2, 6.8(146-y)+9.9y=1234.6

 

992.8-6.8y+9.9y=1234.6, 992.8+3.1y=1234.6, 3.1y=1234.6-992.8,

3.1y=241.8, y=78, x=146-78=68