Answer:
Sugar concentration of the mixed soft drink will be <em>32.5%.</em>
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Step-by-step explanation:
Sugar concentration of first drink = 20%
Volume of first soda = 250 ml
Sugar in first soda = 20% of 250 ...... (1)
Sugar concentration of second drink = 45%
Volume of second soda = 250 ml
Sugar in second soda = 45% of 250 ...... (2)
Let
be the sugar concentration in resultant mixture.
Volume of mixture = 250 + 250 = 500 ml
Sugar in mixture =
of 500 ml ...... (3)
Total sugar concentration (Adding (1) and (2)) and equating it to equation (3):
20% of 250 + 45% of 250 =
of 500
![\Rightarrow \dfrac{20}{100} \times 250 + \dfrac{45}{100} \times 250 = \dfrac{x}{100} \times 500\\\Rightarrow 2 \times x = 65\\\Rightarrow x = 32.5\%](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B20%7D%7B100%7D%20%5Ctimes%20250%20%2B%20%5Cdfrac%7B45%7D%7B100%7D%20%5Ctimes%20250%20%3D%20%20%5Cdfrac%7Bx%7D%7B100%7D%20%5Ctimes%20500%5C%5C%5CRightarrow%202%20%5Ctimes%20x%20%3D%2065%5C%5C%5CRightarrow%20x%20%3D%2032.5%5C%25)
Hence, Sugar concentration of the mixed soft drink will be <em>32.5%.</em>