Kate poured 8 oz of juice from a 64 oz bottle. Brian poured 16 oz of juice from a 128 oz bottle. Are the ratios of poured juice to starting amount of juice equivalent?

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Ответ:

19jcormier

08.06.2021

Mathematics

$\huge\boxed{\sf x = 3}$

Step-by-step explanation:

$\displaystyle \frac{x+1}{2} + \frac{x}{3} = 3\\\\LCM = 6\\\\So, Multiply \ both \ sides \ by \ 6\\\\ (\frac{x+1}{2} * 6) + (\frac{x}{3} * 6) = 3*6\\\\3(x+1) + (x*2) = 18\\\\ 3x + 3 + 2x = 18\\\\5x + 3 = 18\\\\Subtract \ 3 \ to \ both \ sides\\\\ 5x = 18-3\\\\5x = 15\\\\Divide \ both \ sides \ by \ 5\\\\\boxed{ x = 3}\\\\\rule[225]{225}{2}$

Hope this helped!

~AH1807

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