Question

Tickets for a concert cost $20 for a kid and $30 for a parent If 500 tickets were sold for a total of $12000 what was the ratio of the number of kid tickets sold to the # of parent tickets?

Answer 1

So if you have
x amount of tickets sold to kids
y amount of tickets sold to adults

and we know that the total number of tickets was 500
so x+y=500

Then for every kid ticket sold, it was $20 so total is 20*x
every adult ticket was $30, so total is 30*y

we know they make $12000
so 20x+30y=12000

so we have two equations to work with
x+y=500
20x+30y+12000

if we scale up we can see that
20x+20y=10000

no eliminate '20x'

so 30y-20y=12000-10000
so 10y=2000
y=200
ie number of adult tickets sold

if x+y=500
and y=200
then x=300

so the ratio is 300:200 or 3:2

Hope that helps!

Answer 2

THANK YOU <3

Answer 3

no problem :)