Question

A coffee growing company sells coffeebeans for $2.00 per pound. The coffee bean pickerscan pick 1 ton of beans per day. How many days ofpicking are necessary for the company to make$100,000?

Answer 1

Start by using the conversion factor to know what is the sales price for the coffee beans per ton.

$\frac{\text{\ }2.00}{pound}\times\frac{2000pound}{1ton}=\frac{\text{\ }4000}{ton}$

then, the earnings can be found as:

$earnings=(price)(amount\text{ }picked)(days)$

then,

$\begin{gathered} \text{\ }100,000=(\frac{\text{\ }4,000}{ton})(\frac{1ton}{day})(x\text{ }days) \\ solve\text{ }for\text{ }x: \\ x\text{ }days=\frac{\text{\ }100,000}{(\frac{\text{\ }4000}{ton})(\frac{1ton}{day})} \\ x=25\text{ }days \end{gathered}$

Answer:

There is 25 days needed of picking for the company to make $100,000