10) mr. ramirez sold 20 tickets to a concert and made $210. he sold adult tickets (x) and
children tickets (y). mr. ramirez sells adult tickets for $12 each and children tickets are $6.
define your variable: = /
ve
create a system of equations:
-
416)=12y + 210
10
4 y = 12x+ 204
y=17
after solving the system, they sold
adult tickets and l
child tickets.

My father owned a gas station. He generally didn't have much use for math beyond arithmetic, but he once asked me a similar question. Dean, he said, I changed the price of regular gas today from 119.99 to 123.99 (cents per gallon).  According to the pump we pumped 1700 gallons exactly for a revenue of $2058.03.  How much gas did we sell at each price?

I was happy to solve this math problem for him and I'm happy to solve it for you.

Define your variables

x = # adult tickets, y = # children tickets

Create a system of equations:

He sold 20 tickets, so we write the equation:

x + y = 20

He made $210 selling adult tickets for $12 and children tickets for $6:

210 = 12x + 6y

Solve the system

We multiply the first equation by 6.

120 = 6x + 6y

We subtract from the second equation,

90 = 6x

x = 90/6 = 15

y = 20 - x = 5

Sold 15 adult tickets, 5 children tickets

They left out an important part:

Check

15 + 5 = 20, good

12(15) +6(5) = 180 + 30 = 210, good

16 is the absolute value

step-by-step explanation: