document.write( "Question 1099115: Hi
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document.write( "megan and olivia had some money.they msde a donation of $100 together. Megan donated 1/5 of her money.after donating 24 dollars olivia had 32 dollars more than megan.what was the total they had at first.\r
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document.write( "thanks \n" );
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Algebra.Com's Answer #713522 by Theo(13342)![]() ![]() You can put this solution on YOUR website! not sure if i got this right but this is what i calculated based on my interpretation of your problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "megan and olivia had some money. \n" ); document.write( "they both made a donation totaling 100 dollars. \n" ); document.write( "megan donated 1/5 of her money \n" ); document.write( "olivia donated 24 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if we let x = the amount of money that megan started out with and we let y equal the amount of money that olivia started out with then we get.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/5 * x + 24 = 100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 24 from both sides of this equation to get 1/5 * x = 76\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this means that x = 5 * 76 = 380\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's how much megan had before she donated 1/5 of her money.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "after donating 24 dollars, olivia had 32 dollars more than megan.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i'm assuming that olivia had 32 dollars more than megan after megan gave 1/5 of her money.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula becomes y - 24 = 4/5 * x + 32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 24 to both sides of this equation to get y = 4/5 * x + 56\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since we know that x = 380, then we can solve for y to get y = 4/5 * 380 + 56 which makes y = 360\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's how much olivia had before she donated.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so, .........\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "megan had 380 and gave 1/5 of it = 76 \n" ); document.write( "olivia had 360 and gave 24.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "76 + 24 = 100 \n" ); document.write( "this is the total of what they both gave.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "after megan gave 1/5 of 380, she had 4/5 * 380 = 304 left. \n" ); document.write( "after olivia gave 24 from 360, she had 336 left.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "olivia had 336 - 304 = 32 more than megan after they both made their contributions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "hopefully this is the solution you are looking for.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |