document.write( "Question 843281: Luigu plans on investing 4000 coins he has collected from his travels into two accounts. The grumpy Goomba account earns 3% simple interest and the Bashful boo account earns 7% simple interest. How much money should he invest into the Bashful boo account so he can earn 186 coins at the end of the year? \n" ); document.write( "
Algebra.Com's Answer #508058 by 1335(25)![]() ![]() You can put this solution on YOUR website! Let's say you invest \"x\" coins in the Bashful boo account. You now have 4000-x coins left to invest in the grumpy Goomba account. \n" ); document.write( "In terms of a formula you get: \".07x + .03(4000-x)=186. \n" ); document.write( "To simplify this, multiply by 100 to remove the decimals. You now have: \"7x+3(4000-x)=18600\". \n" ); document.write( "Next, distribute the 3: \"7x+12000-3x=18600\". \n" ); document.write( "Now simplify the problem by combining like terms. (the Xs): 7x-3x equals 4x. \n" ); document.write( "Now re-write the equation: 4x+12000=18600 and subtract \"12000\" from both sides and get: 4x=6600 \n" ); document.write( "Divide both sides by 4 to get the answer x=1650 coins.\r \n" ); document.write( "\n" ); document.write( "He should invest 1650 coins in the Bashful boo account in order to earn 186 coins at the end of the year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |