SOLUTION: A gardener needs 6 bushels of a potting medium of 40% peat moss and 60% vermiculite. He decides to add 100% vermiculite to his current potting medium that is 50% peat moss and 50%

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A gardener needs 6 bushels of a potting medium of 40% peat moss and 60% vermiculite. He decides to add 100% vermiculite to his current potting medium that is 50% peat moss and 50%       Log On


   

Question 939283: A gardener needs 6 bushels of a potting medium of 40% peat moss and 60% vermiculite. He decides to add 100% vermiculite to his current potting medium that is 50% peat moss and 50% vermiculite. The gardener has 5 bushels of the 50% peat moss and 50% vermiculite moss mix. Does he have enough of the 50% peat moss and 50% vermiculite mix to make 6 bushels of the 40% peat moss and 60% vermiculite mix? Explain.
P.S. I am not good at English so it would help me a lot if you can answer this. Thank you.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I can pick out the sentence:
" The gardener has +5+ bushels of the
50% peat moss and 50% vermiculite moss mix."
That means he has +2.5+ bushels of peat moss
and +2.5+ bushels of the vermiculite
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To this mix, he adds +x+ bushels of vermiculite
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Then I go to the sentence:
" A gardener needs 6 bushels of a potting medium of 40% peat moss and 60% vermiculite."
That means he needs to end up with:
+.4%2A6+=+2.4+ bushels of peat moss and
+.6%2A6+=+3.6+ bushels of vermiculite
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He has enough of the peat moss- he already has +2.5+ bushels
and he can add +1.1+ bushels of vermiculite to get the +3.6+
bushels he needs ( he already has +2.5+ bushels )
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So, the answer is yes, he has enough
Hope this helps