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miskamm [114]
3 years ago
8

-9 times the difference between a number and 63 is equal to the number plus 49 .Write the equation.

Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0

The equation is:

-9(n-63) = n + 49

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A theater contains 460 seats and the ticket prices for a recent play were $52 for adults and $26 for children. If the total proc
Vlada [557]

Answer:

The answer to your question is There were sold 166 adult tickets and 294

                                                     children tickets.

Step-by-step explanation:

Data

Total number of seats = 460

cost for adults = a = $52

cost for children = c = $26

Total cost = $16276

Process

1.- Write equations to solve this problem

              a + c = 460                    Equation l

         52a + 26c = 16276             Equation ll

2.- Solve the system of equation by substitution.

-Solve equation l for a

             a = 460 - c

-Substitute a in equation ll

         52(460 - c) + 26c = 16276

-Expand

         23920 - 52c + 26c = 16276

-Simplify

                     -26c = 16276 - 23920

                     -26c = -7644

                          c= -7644/-26

                          c = 294

3.- Find a

                        a = 460 - 294

                        a = 166

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