Question

A group of three students at State Capital Middle School won a $300 prize to share for their group project. Calista contributed 425 hours for their project. Seth contributed 524 hours. Lailani kicked in 598 hours. How should they divide the money so that each group member gets the same fraction of the prize money as the fraction of hours they each contributed?

Answer 1

Answer:

Calista prize = $82.256

Seth prize = $101.656

Lailani prize = $116.012

Step-by-step explanation:

Given in question

Total prize is $300

Calista contribution is 425 hours

Seth contribution is 524 hours

Lailani contribution is 598 hours

Total contribution = calista + seth + lailani

Total contribution = 425 + 524 + 598 = 1547

Then i find per hour cost

$\textrm{Per hour cost} = \dfrac{\textrm{total cost}}{\textrm{total hour}}$

$\textrm{Per hour cost}= \dfrac{\ 300}{1547}=\ 0.194$

Calista prize = $425\times\ 0.194= \ 82.256$

Seth prize  $=524\times\ 0.194=\ 101.656$

Lailani prize$=598\times\ 0.194=\ 116.012$