Adult tickets to the fall play cost $8 and student tickets cost $4. the drama class sold 20 more adult tickets than student tickets to the fall play. if the class collected $880 from ticket sales, how many adult tickets were sold?

Hi! Welcome to Let's solve this word problem together below! :)

Let's write this as a system of equations.

8a+4s=880

a= s+20

Let's plug our a value into the first equation.

8(s+20)+4s=880

8s+160+4s=880

We combine like terms.

12s+160=880

We subtract 160 from both sides.

12s=720

We divide both sides by 12

s=60

Now, we plug this value into the second equation.

a= 60+20

a= 80

Therefore, 80 adult tickets were sold.

I hope this helps! Have a fabulous time here at :)

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step-by-step explanation: