SOLUTION: grace has 16 beans in her pocket. She has 8 red ones, 4 green ones,and 4 blue ones. What is the minimum number of beas she mus take out of her pocket to ensure that she has one of

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: grace has 16 beans in her pocket. She has 8 red ones, 4 green ones,and 4 blue ones. What is the minimum number of beas she mus take out of her pocket to ensure that she has one of       Log On

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Question 329266: grace has 16 beans in her pocket. She has 8 red ones, 4 green ones,and 4 blue ones. What is the minimum number of beas she mus take out of her pocket to ensure that she has one of ea color?
2. If 300 beans cost you x dollars. How many beans can you purchase for 50 cents at the same rate?

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
13, because, if you chose 12 it is possible, though very unlikely, to have
gotten 8 reds and 4 greens, and no blues, or 8 reds, 4 blues, and no greens. But by the 13th you must have at least one of every color.


If 300 beans cost you x dollars. How many beans can you purchase
for 50 cents at the same rate?

"300 beans IS TO x dollars AS y beans IS TO 1%2F2 dollar."

300 beans IS TO $x AS y beans IS TO $.50.

In mathspeak, "IS TO" means "OVER", and "AS" means "EQUALS"
 
300 beans OVER $x EQUALS y beans OVER $.50.

300%2Fx%22%22=%22%22y%2F.50

Cross multiply:

xy%22%22=%22%22300%2A.50

xy%22%22=%22%22150

Divide both sides by x:

y%22%22=%22%22150%2Fx beans,

Edwin