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

Answer:

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