How much pure maple syrup should be added to 48 tablespoons of a 45% solution in order to obtain a 60% solution?

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Mathematics

Eliza Pierce

14 October, 20:10

How much pure maple syrup should be added to 48 tablespoons of a 45% solution in order to obtain a 60% solution?

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Max Tyler · Answer 1

Let x = number of tbsp of pure maple syrup 1.00x = maple syrup content of pure syrup0.45 (48) = maple syrup content of 45% solution0.60 (x+48) = maple syrup content of mixtureThen, 1.00x + 0.45 (48) = 0.60 (x+48)

x + 21.6 = 0.60x + 28.80.40x = 7.2x = 18 tbsp