SOLUTION: A small clothing store sells 3 different types of accessories: 20% are scares, 60% are ties, and the other 40 accessories are belts. If half the ties are replaces with scarves, how

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: A small clothing store sells 3 different types of accessories: 20% are scares, 60% are ties, and the other 40 accessories are belts. If half the ties are replaces with scarves, how      Log On


   



Question 1120979: A small clothing store sells 3 different types of accessories: 20% are scares, 60% are ties, and the other 40 accessories are belts. If half the ties are replaces with scarves, how many scares will the store have?
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
There are 40 belts and these represent 20% of the total number of accessories, since 20% are scarves and 60% are ties. Thus, the total number is 40/0.2 = 200
The number of ties = 0.6*200 = 120, the number of scarves = 0.2*200 = 40
Half the ties = 60, so the new number of scarves = 40 + 60 = 100