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Ratios/fractionsI understand the first sentence perfectly well. It is the second sentence I'm not understanding. Water : Alcohol = 3 : 1 in the 8-gram solution. Water : Alcohol = 2 : x in the 12-gram solution. Water : Alcohol = 5 : x in the 20-gram solution ( 12 + 8 ) |

Re: Ratios/fractions....................fraction of alcohol 8 gram solution: 1/(3+1) = 1/4 12 gram solution: 1/(2+1) = 1/3 20 gram total: |

Re: Ratios/fractionsQuote:
Darn, what a way to shine the light on my mathematical vacuity! Anyway, thanks :-) |

Re: Ratios/fractionsHello, MathematicallyObtuse! Quote:
We can baby-step our way through this one . . . [color=beige]. [/color] We start with 8 grams which has: 6 grams of water and 2 grams of alcohol. [color=beige]. . . . [/color]We add 12 grams which has: 8 grams of water and 4 grams of alcohol. And we have 20 grams which has: 14 grams of water and 6 grams of alcohol. Therefore . . . |

Re: Ratios/fractionsThat seemed to be the easiest way to answer the question. :mrgreen: If you want to add ratios, you need to make sure the two numbers x:y add up to the total grams in the solution. 3:1 (3 + 1 = 4, 8/4 = 2, thus we use 6:2) 2:1 (2 + 1 = 3, 12/3 = 4, thus we use 8:4) 6:2 8:4 ----- 14:6 6/(14+6) = 3/10 |

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