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?
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?
Solution
To solve this problem, we need to find the total amount of sugar in each type of soft drink and then find the average concentration in the mixture.
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First, we calculate the amount of sugar in each type of soft drink:
- For the 20% sugar soft drink: 20/100 * 250 ml = 50 ml of sugar.
- For the 45% sugar soft drink: 45/100 * 250 ml = 112.5 ml of sugar.
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Then, we add these two amounts together to find the total amount of sugar in the mixture: 50 ml + 112.5 ml = 162.5 ml of sugar.
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The total volume of the mixture is the sum of the volumes of the two soft drinks: 250 ml + 250 ml = 500 ml.
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Finally, we calculate the sugar concentration in the mixture by dividing the total amount of sugar by the total volume and multiplying by 100 to get a percentage:
- Sugar concentration = (162.5 ml / 500 ml) * 100 = 32.5%.
So, the sugar concentration of the mixed soft drink is 32.5%.
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