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EIGHTH GRADE MATH PLEASE HELP!!

1. Tickets to the fair cost $7 for children and $14 for adults. On Wednesday, 178 people enter the fair and collected $1848. What number of children and what number of adults attended?

2. Tickets to the fair cost $5 for children and $11 for adults. On Tuesday, 164 people enter the fair and collected $1270. What number of children and what number of adults attended?

1 Answer

8 votes

Answer:

1, is So this means the answer is 81 children and 96 adults.

2, 250 $5 tickets and 100 $11 tickets were sold

Explanation:

--- 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.

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