Answer:
It costs the club $0.81 to make each paperweights
Step-by-step explanation:
* Lets explain how to solve the problem
- There are 95 identical paperweights
- Let the cost of making each one is x
- The profit that the club collects on each paperweights is two times
as much as the cost to make each one
- The selling price of all the paperweights is 230.85
- Lets make an equation to find the cost of each one (x)
∵ The cost of each paperweights = x
∵ the number of paperweights = 95
∴ The total cost of them = 95 (x) = 95 x
∵ The profit of selling each one twice the cost of each one
∴ The profit of each paperweights = 2 (x) = 2 x
∴ The profit of all paperweights = 95 (2x) = 190 x
- The profit is the different between the selling price and the cost price
∵ The cost price = 95 x
∵ The profit = 190 x
∵ The profit = the selling price - the cost price
∴ 190 x = selling price - 95 x ⇒ add 95 x to both sides
∴ The selling price = 190 x + 95 x = 285 x ⇒ (1)
- They collect 230.85 from selling all the paperweights
∴ The selling price = 230.85 ⇒ (2)
- Equate (1) and (2) to find x
∴ 285 x = 230.85 ⇒ divide both sides by 285
∴ x = 230.85/285 = 0.81
- x is the cost of making each paperweights
∴ It costs the club $0.81 to make each paperweights
