Students sold 400 tickets for a playoff football game at school. some tickets are for students and costs 3.00. while the rest are adult tickets that costs 8.00. the total value of tickets sold was $1580.00

a. write a system of equations that represents this situation

b. solve this system of equations to determine how many of each type of ticket is sold.

So baically

reresent

s=number of studne tickes bouthgt

a=number of adult tickets bought

400 tickest sold

total=400

a+s=400

value=rate times number of peple

student value=3s

adults value=8a

total value=1580

3s+8a=1580

a. system of equations area

s+a=400

3s+8a=1580

b. solve

s+a=400

3s+8a=1580

a+s=400

multiply by - 3

-3s-3a=-1200

add to other eqaution

3s+8a=1580

-3s-3a=-1200 +

0s+5a=380

5a=380

divide 5

a=76

subsiute

s+a=400

s+76=400

subtract 76

s=324

a. s+a=400

3s+8a=1580

b. solution above

324 students

76 aduls