SOLUTION: Can you please help me solve the following question? Thank you! David eats 3 more cashews per minute than Casey does, and he can eat 80 of them in the same time it takes her to

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Can you please help me solve the following question? Thank you! David eats 3 more cashews per minute than Casey does, and he can eat 80 of them in the same time it takes her to       Log On


   

Question 329192: Can you please help me solve the following question? Thank you!
David eats 3 more cashews per minute than Casey does, and he can eat 80 of them in the same time it takes her to eat 56.. How fast do each of them eat cashews?
Found 2 solutions by solver91311, galactus:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Solve the proportion for , Casey's rate of cashew consumption per minute.




John

Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
This is like a d=rt ptoblem, only with cashews instead of cars, planes, boats, etc.
Let r=Casey's rate. Then David's rate is r+3.
Since their times are equal, we have:
80%2F%28r%2B3%29=56%2Fr
r=7
Casey eats 7 per minute and, therefore, David eats 10 per minute.