Question

HELP HELP HELP FAST PLS PLS

Answer 1

Answer:

a) System of equations will be:  $x+y=500\: and\:5x+2y=1789$

b) Number of adult tickets sold =  263

Number of students tickets sold =  237

Step-by-step explanation:

Let:

Number of adult tickets sold = x

Number of students tickets sold = y

a)

As Marc sold total 500 tickets, the expression will be: $x+y=500$

Student tickets cost $2 and adult tickets cost $5. Marc's sales totalled $1,789.

The expression will be: $5x+2y=1789$

So, system of equations will be:  $x+y=500\: and\:5x+2y=1789$

b)

Solve the system to find value of x and y

Let:

$x+y=500--eq(1)\\5x+2y=1789--eq(2)$

Multiply equation 1 by 2 and subtract

$2x+2y=1000\\5x+2y=1789\\-\:\:\:-\:\:\:\:\:\:\:\:\:-\\------\\-3x=-789\\x=\frac{-789}{-3}\\x=263$

We get value of x = 263

Now finding value of y by putting value of x in eq(1)

$x+y=500\\263+y=500\\y=500-263\\y=237$

We get value of y = 237

Number of adult tickets sold = x = 263

Number of students tickets sold = y = 237