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The celluloid cinema sold150 tickets to a movie. Some of these were child tickets and the rest were adult tickets.A child ticket cost $7.75 and an adult ticket cost $10.25. If the cinema sold $1470 worth of tickets, which system of equations could be used to determine how many adult tickets,a,and how many child tickets,c, were sold

Respuesta :

Answer: the system of equations are

a + c = 150

7.75a + 10.25b = 1470

Step-by-step explanation:

Let a represent the number of adult tickets that were sold.

Let c represent the number of child tickets that were sold.

The celluloid cinema sold 150 tickets to a movie. Some of these were child tickets and the rest were adult tickets. This means that

a + c = 150 - - - - - - - - - - - - - -1

A child ticket cost $7.75 and an adult ticket cost $10.25. If the cinema sold $1470 worth of tickets, it means that

7.75a + 10.25b = 1470 - - - - - - - - -2

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