document.write( "Question 313393: Martin ate 100 cookies in five days. Each day he ate 6 more than the day before. How many cookies did he eat on the first day? \n" ); document.write( "
Algebra.Com's Answer #224128 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! Martin ate 100 cookies in five days. Each day he ate 6 more than the day before. How many cookies did he eat on the first day?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the amount of cookies that Martin ate on the 1st day be F\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since he ate 6 more cookies than the previous day, then he would've eaten: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(F + 6) cookies on the 2nd day \n" ); document.write( "F + 6 + 6, or (F + 12) cookies on the 3rd day \n" ); document.write( "F + 12 + 6, or (F + 18) cookies on the 4th day \n" ); document.write( "F + 18 + 6, or (F + 24) cookies on the 5th day\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since he had eaten a total of 100 cookies in 5 days, then we have:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "F + (F + 6) + (F + 12) + (F + 18) + (F + 24) = 100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5F + 60 = 100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5F = 40\r \n" ); document.write( "\n" ); document.write( "F = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, Martin ate \n" ); document.write( "\n" ); document.write( "------------------- \n" ); document.write( "Check \n" ); document.write( "-------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Day 1: 8 \n" ); document.write( "Day 2: 8 + 6 = 14 \n" ); document.write( "Day 3: 14 + 6 = 20 \n" ); document.write( "Day 4: 20 + 6 = 26 \n" ); document.write( "Day 5: 26 + 6 = 32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In 5 days, he ate: 8 + 14 + 20 + 26 + 32 = 100 \n" ); document.write( " |