document.write( "Question 1170584: Megan Ada has 25 bills in 20-peso and 50-peso denominations. The total amount she has is Php 950. How many of each kind of bill does she have? \n" ); document.write( "
Algebra.Com's Answer #795488 by akumpo(8)![]() ![]() You can put this solution on YOUR website! Let t be the number of 20 peso bills, and f the number of 50 peso bills. \n" ); document.write( "t+f=25 \n" ); document.write( "20t+50f=950\r \n" ); document.write( "\n" ); document.write( "Using system of equations we can find our answer. Multiply the first equation by 20 to get 20t+20f=500. Then, subtract the two equations to get rid of t.\r \n" ); document.write( "\n" ); document.write( "This now turns into: 30f=450 \n" ); document.write( "Divide both sides by 30 to get f=15\r \n" ); document.write( "\n" ); document.write( "Plug f into the first equation to get a value of 10 for t. \n" ); document.write( "There are 10 20 peso bills, and 15 50 peso bills.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "CHECK \n" ); document.write( "t+f=25 \n" ); document.write( "10+15=25 \n" ); document.write( "TRUE \n" ); document.write( "20t+50f=950 \n" ); document.write( "20*10+50*15=950 \n" ); document.write( "200+750=950 \n" ); document.write( "TRUE \n" ); document.write( " |