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Part 1: Students performed in a play on a Friday and a Saturday. For both performances, adult tickets cost a dollars each and student

tickets cost s dollars each.

On Friday, they sold 125 adult tickets and 65 student tickets, and collected $1,200. On Saturday, they sold 140 adult tickets and 50

student tickets, and collect $1,230.

This situation is represented by this system of equations:

125a +65 s = 1,200

140a +505 = 1,230

What could the equation 265a+115s=2,430 mean in this situation?


Part 2: The solution to the original system is the pair a=7 and s=5. Explain why it makes sense that this pair of values is also the solution to the equation 265a+115s=2430.

Respuesta :

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Answer:

Sum of the two separate equations.

The values satisfies the equation

Step-by-step explanation:

Given the equations for the two separate days :

125a +65 s = 1,200 - - - Friday

140a +50s = 1,230 - - - Saturday

265a+115s=2430 means the addition of the two separate equations which means the overall sales for the two days in one single equation.

B)

Because, Inputting the solution, satisfied the equation:

a = 7 ; s = 5

265a+115s=2430

265(7) + 115(5) = 2430

1855 + 575 = 2430

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