a craft club makes 95 identical paperweights to sell they collect 230.85 from selling all the paperweights if the profit The club collects on each paperweights is two times as much as the cost to make each one what does it cost the club to make each paperweights

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