Celeste wants to have her hair cut and permed and also go to lunch she knows she will need $50 the perm cos twice as much as her haircut and she needs $5 for lunch how much does the permcost

Lets say the cost of her haircut is $x. This makes the cost of her perm 2x (twice as much). If lunch ($5), the perm ($2x) and the haircut ($x) cost, in total, $50, we can say:

50 = 5 + 2x + x
Combine like terms:
50 = 5 + 3x
Subtract 5 from both sides to isolate 3x
50 - 5 = 3x
45 = 3x
Divide all by 3 to isolate x
x = 45/3
x = 15

So the haircut is $15 and the perm is $30 (2*$15).