Question

At the city museum, child admission is $5.50 and adult admission is $8.60. On Friday, 151 tickets were sold for a total sales of $1087.80. How many adult

tickets were sold that day?
Number of adult tickets:

Answer 1

...x = child entry

y = adult entry

child entry price: $5.50

adult entry price:$8.60

Friday, 151 tickets were sold→there were 151 visitors

x+y =151

the recipe was $1,087.80.→5.5x+8.6y= $1087.8

system with 2 equations

x+y =151

5.5x+8.6y= 1087.8

by substitution: x=151-y

we replace x in the other equation:

5.5(-y+151)+8.6y= 1087.8

-5.5y+830.5+8.6y=1087.8

3.1y=1087.8-830.5

3.1y=257

y=83

number of adult tickets: 83