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

Answer: 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