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ID: 3003663 • Letter: C

Question

C ??secure i https.//www aw contact I connecto Selt Serv ie Transcripts Housto Lemon Chicken Pas Creamy Swiss Chio shopping LINES, PUNCTIONS, SYSTEMS Solving a percent miture problem using a system of linear equat.. Antho The Royal Fruit Company produces t wo types of fr is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must pints of a mixture that is 8596 pure fruit juice? uit drinks. The first type is 20% pure fruit juice, and the second type is 100% pure fruit juice. The company be used to make 160 First fruit drink: pints Second fruit drink: pints check

Explanation / Answer

Here' how to solve the question, using algebra

Let x parts of 20% pure and y parts of 100% pure are mixed to get 160 pints

So, x+y = 160

x+.2y = .85*160 = 136

So, .8y = 44

y = 44/.8 = 55 pints

So, x = 105 pints, and y= 55 pints

Fist fruit type = y = 55 pints

Second fruit type is x = 105 pints