Question

Ashley mixes two types of soft drinks with different types of concentration: one soft drink has 20% sugar and the other drink has 45% sugar. Each can has 250 milliliters of soda. What is the sugar concentration of the mixed soft drink?

Answer 1

Sugar concentration of the mixed soft drink will be 32.5%.

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
`x\%` be the sugar concentration in resultant mixture.

Volume of mixture = 250 + 250 = 500 ml

Sugar in mixture =
`x\%` of 500 ml ...... (3)

Total sugar concentration (Adding (1) and (2)) and equating it to equation (3):

20% of 250 + 45% of 250 =
`x\%` of 500

`\Rightarrow (20)/(100) * 250 + (45)/(100) * 250 = (x)/(100) * 500\\\Rightarrow 2 * x = 65\\\Rightarrow x = 32.5\%`

Hence, Sugar concentration of the mixed soft drink will be 32.5%.