The admission fee at a fair is $3.25 for children and $6.75 for adults. on a certain day, 870 people enter the fair and $3,772.50 is collected. write a system of linear equations that you can use to determine how many children and adults attended. be sure to define your variables. solve the system. show your work !

       Total number of children = 600

        Total number of adults = 270

Explanation:

 Admission fee at fair for children = $3.25

 Admission fee at fair for adults = $6.75

 Total people entered the fair = 870

 Collected amount = $3,772.50

 Let X be the number of children and Y be the number of adults.

 We have total of 870 people

     X + Y = 870   Equation 1

Collected amount = $3,772.50

  3.25 X + 6.75 Y = 3,772.50Equation 2

 Multiplying equation 1 with 3.25,

    3.25 X + 3.25 Y = 2827.5Equation 3

Equation 2 - Equation 3,

     (3.25 X + 6.75 Y) - ( 3.25 X + 3.25 Y) = 3,772.50 - 2827.5

           3.5 Y = 945

              Y = 270 adults.

    Substituting in equation 1

         X + 270 = 870

          X = 600 children.

  So Total number of children = 600

        Total number of adults = 270

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i