PLEASE HELP

If 87 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $3.25 and

total receipts for the concert was $291.75, how many of each went to the concert?

Respuesta :

Answer: 51 Children and 36 Adults.

Step-by-step explanation: Let's call x the number of children admitted and call z the number of adults admitted.

We know that x+z= 87

We also know that 3.25x+3.5z= 291.75.

We want to find the value of x and z. Then we solve the system of equations:

Multiply the first equation by -3.5 and add it to the second equation:

-3.5x-3.5z= -304.5

3.25x+3.5z= 291.75

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-0.25x=-12.75

x= -42.75 ÷ -0.25

x=51

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Now we substitute the value of x in the first equation and solve for the variable z

51+z=87

z=87-51

z= 36

Omg took me like 10 minutes to calculate would appreciate brainliest. Have a wonderful day.

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