A container holds 4 quarts of chemicals and 4 quarts of water. How many quarts of water must be added to the container to create a mixture that is 3 parts chemical to 5 parts water by volume?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
3 (8/3)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Let x be the amount of water to be added.
New total amount of water = 4 + x
Total amount of chemical = 4
New total mixture = 4 (chemical) + 4 (existing water) + x (added water) = 8 + x
Final required ratio (water : total) = 5 / (5 + 3) = 5 / 8
So,
(4 + x) / (8 + x) = 5 / 8
⇒ 8(4 + x) = 5(8 + x)
⇒ 32 + 8x = 40 + 5x
⇒ 8x - 5x = 40 - 32
⇒ 3x = 8
⇒ x = 8 / 3
