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.

Question

Mathematics

Abdullah Love

27 October, 04:16

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.

+4

Answers (1)

Know the Answer?

Everett Wu · 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