Tickets to a school basketball game cost $4 for students and $7 for adults. At the end of the night, 168 tickets are sold for a

Question

eimsori [14]

3 years ago

6

Tickets to a school basketball game cost $4 for students and $7 for adults. At the end of the night, 168 tickets are sold for a

total of $861. How many tickets are sold

Mathematics

1 answer:

stepan [7] · Answer 1 · 2022-05-23T12:47:01+03:00

4s+7a=861
s+a=168

This can be solved using either elimination or substitution. I am going to use substitution.

Solve s+a=168 for s
s=168-a

Replace 168-a for s in 4s+7a=861
4(168-a)+7a=861
672-4a+7a=861

Solve for a
672+3a=861
3a=189
a=63

Substitute 63 for a in s=168-a
s=168-63=105

So, s=105 student tickets and a=63 adult tickets