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x Now Tab F-Sed c o aleks.com/alksog/ialexe/1o.ukP3OOPXBJ.oWAMtw 7sNyóbBoDarAvBBttI0 SaVBrEhoRguyhATElOBNOFh Secure l htt An LINES, FUNCTIONS, SYSTEMS = Solving a percent mixture problem using a system of linear equat.. The Royal Fruit Company produces two types of fruit drinks. The first type is 70 attempting to produce a fruit drink that contains 75% pure fruit juice. How many pirts of a mixture that is 75% pure fruit juice? pure fruit juice, and the second type is 95% pure fruit juice. The company is pints of each of the two existing types of drink must be used to make 180 First fruit drink: pints Second fruit drink: pints checkExplanation / Answer
Let the quantity of the first fruit drink = x pints
Therefore quantity of the second fruit drink = (180 - x) pints
By the concept of weighted average: Average % = [(% of 1st drink * Q1) + (% of 2nd drink * Q2)] / [Q1 + Q2]
Substituting the values, we get 75 = (70*x) + [95*(180-x)] / 180
Therefore 180*75 = 70x + (95*180) - 95x
95x - 70x = 17100 - 13500
25x = 3600
x = 144 and 180 - x = 36
Therefore 1st Fruit drink = 144 pints
and 2nd fruit drink = 36 pints
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