document.write( "Question 385316: roger studied for x hours. her sister studied five more than roger. between both of them, they studied 30 hours. how much did each study? \n" ); document.write( "

Algebra.Com's Answer #272620 by texttutoring(324) $\"\"$ $\"About$

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Roger studied for x hours
\n" ); document.write( "Her sister studied for (x+5) hours.\r
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\n" ); document.write( "\n" ); document.write( "Together, they studied for 30 hours in total. You need to set up an algebra equation to model this question:\r
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\n" ); document.write( "\n" ); document.write( "x + (x+5) = 30\r
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\n" ); document.write( "\n" ); document.write( "Now collect like terms:\r
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\n" ); document.write( "\n" ); document.write( "2x + 5 = 30
\n" ); document.write( "2x = 30 -5
\n" ); document.write( "2x = 25
\n" ); document.write( "x = 12.5\r
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\n" ); document.write( "\n" ); document.write( "So Roger studied for 12.5 hours. That means his sister must have studied for 12.5+5 = 17.5 hours.\r
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\n" ); document.write( "\n" ); document.write( "Check your work. Does 12.5+17.5 = 30?\r
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\n" ); document.write( "\n" ); document.write( "Yes, it does! So that means this must be correct. \n" ); document.write( "

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