Question

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.

Answer 1

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