SOLUTION: Hot Wheels Cycle Shop bought 16 helmets at $30 each. Some were sold for $60 each. The rest were sold at a clearance sale price of $45 each. The profit for Hot Wheels was $375

Question 36407: Hot Wheels Cycle Shop bought 16 helmets at $30 each.
Some were sold for $60 each.
The rest were sold at a clearance sale price of $45 each.
The profit for Hot Wheels was $375.
How many helmets were sold at the sale price?
The word problem says "Cost and Money Problems". If that helps at all.

Answer by Prithwis(166) (Show Source): You can put this solution on YOUR website!
Total Cost of helmets = 16*30 = $480;
Total Profit = $375;
Total Sell Price = Total Cost + Total Profit = 480+375 = $855;
Assume x helmets were sold for $60 each; 16-x helmets were sold on clearance;
Total money reveived by selling x helmets for $60 each = 60x;
Remaining money = Total Sell Price - Total price of x helmets = 855-60x
Number of helmets sold on clearance*Clearance Price of helmet = Remaining money
So, (16-x)(45) = 855-60x
=> (16-x)(5*9) = 5(171-12x)
=> 9(16-x) = 171-12x
=> 144-9x = 171-12x
=> 3x = 171-144 = 27
=> x = 9;
Answer - Number of helmets sold at the sale price was 9

RELATED QUESTIONS
Hot Wheels Cycle Shop bought 16 helmets at $30 each. Some were sold for $60 each. The (answered by checkley71)

16 pens were bought for $5 each and sold at 4 for $30 what is the percentage profit. (answered by josmiceli)

A shoe store bought 225 pairs of shoes for $15750. Twenty five pairs were sold at markup... (answered by richwmiller)

A shopkeeper bought some eggs at 15 cents each. Six of them were broken while the rest... (answered by haileytucki)

The Knit Shoppe bought 250 sweaters for $3100; 50 sweaters were sold at a markup of 150%... (answered by solver91311)

A stall in Divisoria bought 225 blouses at PhP15,750. 25 of these blouses were sold at a... (answered by JulietG)

A department store held a sale to sell all of the 214 winter jackets that remained after... (answered by KMST)

A department store held a sale to sell all of the 214 winter jackets that remained after... (answered by checkley71)

The total proceeds from a used book store sale were $250. A total of 91 books were sold.... (answered by stanbon)