simple cuts is a hair salon that offers two types of haircuts: a buzz cut and a flat-top. Jerry charges $9 for a buzz cut and $13 for a flat-top. If Jerry made $600 one day and knows that he three times as many buzzes as flat-tops, how many flat-tops did he cut that day?
A. 15
B.21
C.40
D.280

Question

simple cuts is a hair salon that offers two types of haircuts: a buzz cut and a flat-top. Jerry charges $9 for a buzz cut and $13 for a flat-top. If Jerry made $600 one day and knows that he three times as many buzzes as flat-tops, how many flat-tops did he cut that day?
A. 15
B.21
C.40
D.280

stamp · Answer

define buzzes b, flat-tops f.

b = 3f

9b + 13f = 600

9(3f) + 13f = 600 /* substitute b */

27f + 13f = 600 /* simplify expression */

40f = 600 /* next solve for f */