document.write( "Question 830913: in a class there are 6 more girls than boys and in the ratio 2:5 . find the total number of students\r \n" );
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document.write( "1. We will use the symbol b to denote the number of boys, and g to denote the number of girls \n" );
document.write( "2. Satisfy yourself that g = b + 6 \n" );
document.write( "3. We are told that g/b = 5/2. In other words, (b + 6)/b = 5/2 \n" );
document.write( "4. If you multiply the above equation by 2, (2b + 12)/b = 5 \n" );
document.write( "5. Next, multiply the last equation by b to get 2b + 12 = 5b \n" );
document.write( "6. Subtract 2b from each side of the equation: 12 = 3b \n" );
document.write( "7. So now we see that b = 4 \n" );
document.write( "8. Since g = b + 6, g = 10 \n" );
document.write( "9. One last test: Are they in the ratio 5/2? We have g/b = 10/4 \n" );
document.write( "10. Simplify 10/4 to get 5/2. Done \n" );
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