document.write( "Question 1210595: A donut shop sold 3/5 of their glazed donuts in the morning, In the afternoon, they sold 5/6 of the remaining glazed donuts. The ratio of the remaining glazed donuts to the remaining chocolate donuts was 2:7. If they had 42 chocolate donuts left, how many total donuts (glazed + chocolate) did the shop have at the very beginning? \n" ); document.write( "
Algebra.Com's Answer #854226 by greenestamps(13362) You can put this solution on YOUR website! \n" ); document.write( "At the end, there were 42 chocolate donuts left, and the ratio of glazed to chocolate was 2:7. Use the proportion 2:7 = x:42 to find that there were 12 glazed donuts left. \n" ); document.write( "In the morning, 3/5 of the glazed donuts were sold, so the fraction remaining was 2/5. \n" ); document.write( "In the afternoon, 5/6 of the remaining glazed donuts were sold, so 1/6 of them remained. The fraction of glazed donuts left was then 1/6 of 2/5, or 1/15. \n" ); document.write( "The 12 remaining glazed donuts were 1/15 of the original number, so the original number of glazed donuts was 15*12 = 180. \n" ); document.write( "But there is no information given that allows us to determine the original number of chocolate donuts. \n" ); document.write( "ANSWER: not enough information \n" ); document.write( " \n" ); document.write( " |