Tickets to the fair cost $4 for children and $11 for adults. On Wednesday 177 people enter thefair and they collected $1380. What number of children and what number of adults attended?
To solve this, you can use quadratics. x + y = 177 and 4x + 11y = 1380 are the equations to solve for x and y. 177 is the total amount of people who entered the fair, and 1380 is the total money earned. x is the amount of children entered, while y is the amount of adults entered. If we were to do 4(x + y = 177), the equation would become 4x + 4y = 708. Then, we minus the 2 equations together, eliminating the x so we can solve for y. So, the final equation is 7y = 672, meaning y = 96. If we bring this into the first equation, x + y = 177, we can find that x = 81. So this means the answer is 81 children and 96 adults.