document.write( "Question 2793: The two biggest lakes in Manitoba are lake Winninpeg and Lake Brandon. Their combined area is about 29800 km^2. The area of lake Brandon is 700 km^2 less than one quarter of the area of lake Winnipeg. What is the area of each lake? \n" ); document.write( "
Algebra.Com's Answer #1218 by sujatha.krishna(11)![]() ![]() ![]() You can put this solution on YOUR website! Assume, area of Lake Winnipeg is x km^2 and area of Lake Brandon is y km^2\r \n" ); document.write( "\n" ); document.write( "Their combined area is 29800 km^2 \n" ); document.write( "x + y = 29800\r \n" ); document.write( "\n" ); document.write( "Area of lake brandon is 700 km^2 less than a quarter of area of lake winnipeg \n" ); document.write( "x/4 - 700 = y \n" ); document.write( "x - 2800 = 4y \n" ); document.write( "x - 4y = 2800 \n" ); document.write( "-x + 4y = -2800\r \n" ); document.write( "\n" ); document.write( "Solving the 2 equations now \n" ); document.write( "x + y = 29800 \n" ); document.write( "-x + 4y = -2800 \n" ); document.write( "----------------- \n" ); document.write( "5y = 27000 \n" ); document.write( "-----------------\r \n" ); document.write( "\n" ); document.write( "So y = 27000/5 = 5400 \n" ); document.write( "And x= 29800 - 5400 = 24400\r \n" ); document.write( "\n" ); document.write( "So area of lake winnipeg is 24400 km^2 and area of lake brandon is 5400 km^2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |