Problema Solution

Fifty liters of pure maple syrup that costs $8.50 per liter are mixed with imitation maple syrup that costs $2.50 per liter. How much imitation maple syrup is needed to make a mixture that costs $3.00 per liter?

Answer provided by our tutors

let 'x' represent the amount of imitation syrup used, then 'x+50' represents the total volume of the $3 syrup


(x+50)3 = 2.5x + 8.5(50)

solving for 'x' we have x=550


550 liters of the $2.50 syrup must be added in order to make a mixture that costs $3.00 per liter