Question

A project on Kickstarter for an iPad stylus raised 1,130% of their goal, raising a total of $322,507 from 7,457 supporters. What was their original goal?

Answer 1

Let:

x = Original goal

y = Final goal = $322507

a = Percentage raised = 1.130% = 0.0113

so:

`\begin{gathered} y=x+ax \\ so\colon \\ y=x(1+a) \\ _{\text{ }}solve_{\text{ }}for_{\text{ }}x\colon \\ x=(y)/(1+a) \\ x=(322507)/(0.0113+1) \\ x=(322507)/(1.0113) \\ x=318903.3917 \\ x\approx318903.39 \end{gathered}`

Answer:

The original goal was approximately $318903.39