Question

during promotion at an aquarium , the number of adult tickets sold was 4 times the total number of student tickets and senior citizen tickets sold.The number of students tickets sold was three times that of senior citizen tickets.142 more students tickets than senior citizen tickets were sold. How many adult tickets were sold?
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Answer 1

Answer:

1136 Adults ticket

Step-by-step explanation:

Let the no. of adult tickects sold = x , no. that of students = y , and of senior = z

Here

x = 4 (y+z) ;

y = 3z = z + 142

So, z = 71

y = 213

And x = 4 X 284

Si , total no. of adults ticket sold were 1,136.

Answer 2

Answer:

This question involves linear equations containing two variables!

Step-by-step explanation:

Let the number of Student tickets be X

Let the number of Senior Citizen tickets be Y

⇒ Number of Adult tickets = 4×(X+Y)  --- Equation 1

Also,

X = 3 × Y (Number of student tickets sold is three times that of Senior Citizen's) --- Equation 2

Lastly,

142 = X-Y (142 more students tickets were sold than senior citizen's) ---Equation 3

On substituting value of X obtained in Equation 2 in Equation 3 we get,

142 = (3 × Y) - Y

⇒ Y = 71

Now substituting this value of Y in Equation 2 we get,

X = 213

So, number of adult tickets is obtained by substituting values of X and Y in Equation 1

⇒ Number of Adult tickets sold = 4×( 71+213 ) = 1136

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