document.write( "Question 1203963: Lola has 4 orange juice containers. Each container is 5/8 full.
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document.write( "Lola claims to have a total of 2 1/2 gallons of orange juice in the 4 containers.
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document.write( "Which of these statements must be true in order for Lola's claim to be correct?\r
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document.write( "A. Each container has a capacity of 5/8 gallon.
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document.write( "B. Each container has a capacity of 1 gallon. (correct answer)
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document.write( "C. Each container has a capacity of 2 1/2 gallons.
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document.write( "D. Each container has a capacity of 8 gallons.\r
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document.write( "What mathematical procedures are done to determine that (B) is the correct answer? \n" );
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Algebra.Com's Answer #839913 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "x = capacity, in gallons, of each container \n" ); document.write( "Each container is 5/8 full, so (5/8)x represents how much orange juice is in each container.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Four such containers would have a total of 4*(5/8)x = (20/8)x = (5/2)x gallons of juice.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If Lola's claim is correct, then we'll form the equation below in which we can solve for x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(5/2)x = 2 & 1/2 \n" ); document.write( "(5/2)x = 2 + (1/2) \n" ); document.write( "(5/2)x = (4/2) + (1/2) \n" ); document.write( "(5/2)x = 5/2 \n" ); document.write( "x = (5/2)*(2/5) \n" ); document.write( "x = 1 \n" ); document.write( "Therefore, each container has a capacity of 1 gallon. \n" ); document.write( " \n" ); document.write( " |