Acommunity theater sold a total of 400 full price tickets for adults and children. the price was $8.00 per adult ticket and $5.00 per children’s ticket. if the total revenue was $2,750, how many adult tickets and how many children’s tickets were sold

250 adult tickets and 150 children's tickets

Step-by-step explanation:

x=number of adult tickets

y=number of children tickets

8x+5y=2760

x+y=400

Multiply the second equation by 8

8(x+y=400)

8x+8y=3200

8x+5y=2750

8x+8y=3200

Subtract

8x-8x=0

5y-8y=-3y

2750-3200=-450

-3y=-450

Divide by -3 on both sides

y=150

Go back and insert y into any of the equations

x+150=400

Subtract

400-150=250

x=250

There are 250 adult tickets and 150 children's tickets.

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

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step-by-step explanation:

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