Celeste and the perm

Question

Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need $77. The perm costs twice as much as her haircut and she needs $5 for lunch. How much does the perm cost ? 

Answer 1

Hello Gabriela. The cost of the perm is twice as much as the haircut. This suggests that we let the cost of the haircut be our variable. 

 

Cost of haircut = x

Cost of perm = 2x 

 

equation in words: haircut + perm + lunch = 77

 

2x +x + 5 = 77

3x + 5 = 77

3x = 72

x= 24

 

since x represents the cost of the haircut, the haircut is $24. The perm costs $48.

 

i hope this helps!

Answer 2

The total amount need is $77

out of this amount $5 is being allotted to lunch

 

let x represent hair cut

let 2x represent perm

 

x+2x+5=77

3x+5=77

3x=77-5

3x=72

x=72/3=24

haircut is $24

2x=2(24)=48

 

perm is $48