Q:

10) Mr. Ramirez sold 20 tickets to a concert and made $210. He sold adult tickets (x) andchildren tickets (y). Mr. Ramirez sells adult tickets for $12 each and children tickets are $6.Define your variable: = /veCreate a system of equations:-416)=12y + 210104 y = 12x+ 204Y=17After solving the system, they soldadult tickets and Lchild tickets.​

Accepted Solution

A:
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 variablesx = # adult tickets, y = # children ticketsCreate a system of equations:He sold 20 tickets, so we write the equation:x + y = 20He made $210 selling adult tickets for $12 and children tickets for $6:210 = 12x + 6ySolve the systemWe multiply the first equation by 6.120 = 6x + 6yWe subtract from the second equation,90 = 6xx = 90/6 = 15y = 20 - x = 5Answer: Sold 15 adult tickets, 5 children ticketsThey left out an important part:Check15 + 5 = 20, good12(15) +6(5) = 180 + 30 = 210, good