document.write( "Question 214746: Galina spent $3.60 for stamps to mail packages. Some were 30¢ stamps and the rest were 20¢ stamps. The number of 20¢ stamps was 2 less than the number of 30¢ stamps. How many stamps of each kind did Galina buy? \n" ); document.write( "
Algebra.Com's Answer #162203 by stanbon(75887) ![]() You can put this solution on YOUR website! Galina spent $3.60 for stamps to mail packages. Some were 30¢ stamps and the rest were 20¢ stamps. The number of 20¢ stamps was 2 less than the number of 30¢ stamps. How many stamps of each kind did Galina buy? \n" ); document.write( "------------------------------------------------ \n" ); document.write( "Equations: \n" ); document.write( "Quantity Eq.: w = r -2 \n" ); document.write( "Value Eq.::::20w + 30r = 360 cents \n" ); document.write( "========================================= \n" ); document.write( "Rearrange the Equations: \n" ); document.write( "2w - 2r = -4 \n" ); document.write( "2w + 3r = 36 \n" ); document.write( "--------------------- \n" ); document.write( "Subtract the 1st from the 2nd: \n" ); document.write( "5r = 40 \n" ); document.write( "r = 8 (# of thirty-cent stamps) \n" ); document.write( "w = r-2, so w = 6 (# of twenty-cent stamps) \n" ); document.write( "---------------- \n" ); document.write( "Checking \n" ); document.write( "8*30+6*20 = 240 + 120 = 360 cents \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |