A craft club makes 95 identical paperweights. They got $230.85 from those paperweights. If the profit the club makes is two times as much as the cost to make each paperweight, what does it cost to make each paperweight?

the cost of making each paperweight = $0.81

Step-by-step explanation:

First let us calculate the selling price for each paperweight as follows:

total amount gotten = $230.85

number of paperweights = 95

∴ 95 paperweights = $230.85

∴ 1 paperweight = 230.85 ÷ 95 = $2.43

selling price of 1 paperweight = $2.43

Next, let the cost of making 1 paperweight be 'x'

selling price of paperweight = cost of making + profit gotten

The cost of making the paper weight (x) plus the profit made on the paper weight (2x) equals the selling price of each paper weight.

x + 2x = 2.43 (the profit the club makes is two times as much as the cost to make each paperweight)

∴ 3x = 2.43

x = 2.43 ÷ 3 = 0.81

Therefore, the cost of making each paperweight = $0.81

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.