Celeste wants to have her hair cut and permed and also go to lunch. she knows she will need $95. the perm costs twice as much as her haircut and she needs $5 for lunch. how much does the perm cost?

So perm cost 2 times as hair cut
perm=2 times haircut
she also needs 5 dollars for lunch

so therefor if 95 is enough to cover it we do
cost=lunch+perm+haircut
cost=5+perm+haircut
subsitute
95=5+2 times haircut+1 time haircut
add like terms
95=5 +3 times haircut
subtract 5 from both sides
90=3 times haircut
diide by 3
30=haircut
subsitute
perm=2 times haircut=2 times 30=60

perm=$60

The 8th term is 512