ELITEANDLOVINGIT Posted October 11, 2012 Share Posted October 11, 2012 (edited) I am officially starting the Math Problem of the Day Thread. Word Problem will be posted (middle school level or up) once per day w/ an answer given the next day (or when I can get on). Varied solutions are helpful..as it always amazes me to see how each student or parent tackles a problem. We hope you have fun learning and welcome the teaching that will come to us from this post. DRT related - An easy one today! Denver is about 1,020 miles from Chicago. The train from Chicago to Denver travels at an average speed of 77 miles per hour. If the train travels directly without any stops, how far will it have traveled after 7 hours and 25 minutes? Good Luck! :D Edited October 12, 2012 by kerryfrank73 Quote Link to comment Share on other sites More sharing options...
sheryl Posted October 11, 2012 Share Posted October 11, 2012 I came up with 571.109 miles. That doesn't seem right - help! :001_smile: Yes, dd and I worked on this together and we "do" need to improve our math skills. This would be a great thread!! Quote Link to comment Share on other sites More sharing options...
DarlaS Posted October 11, 2012 Share Posted October 11, 2012 Well the first part is irrelevant. A train traveling at 77 mph is going to cover 539 miles in 7 hrs. The 25 minute part does not make for nice even math, but is app. 42% of an hour. 42% of 77 is 32.34 miles. So, 571.34 miles total. Quote Link to comment Share on other sites More sharing options...
mathwonk Posted October 12, 2012 Share Posted October 12, 2012 (edited) i did it in my head approximately and got 7x70 + 7x7 + (5/12)77 ≈ 539 + (5/12)x72 + (5/12)x5 = 571 + 1/12 = 571.083333.... actually i originally got ≈ 570 (approximating 25/12 as 1, oddly), but in writing down the answer here i was able to make it more precise. i may still be wrong. Edited October 12, 2012 by mathwonk Quote Link to comment Share on other sites More sharing options...
DarlaS Posted October 12, 2012 Share Posted October 12, 2012 i did it in my head approximately and got 7x70 + 7x7 + (5/12)77 ≈ 539 + (5/12)x72 + (5/12)x5 = 571 + 1/12 = 571.083333.... actually i originally got ≈ 570 (approximating 25/12 as 1, oddly), but in writing down the answer here i was able to make it more precise. i may still be wrong. That's what I got when I didn't round the decimal (5/12 = .4166666...) to two places. Quote Link to comment Share on other sites More sharing options...
ELITEANDLOVINGIT Posted October 12, 2012 Author Share Posted October 12, 2012 You are correct! 571.1 was the answer for the last problem... Here is the problem for today: Each month, Kofi's cheese shop sells 68lbs of cheddar cheese and 36lbs of swiss cheese. He buys the cheddar in 10lb blocks for 96.50 each He buys the swiss in 3lb rounds for 37.00 each He then divides the cheese into smaller 4oz packages, which he sells for 4.50 each. He discards unsold cheese at the end of each month. How much profit does he make on cheddar cheese each year? Good Luck!!! Quote Link to comment Share on other sites More sharing options...
theYoungerMrsWarde Posted October 12, 2012 Share Posted October 12, 2012 You are correct! 571.1 was the answer for the last problem... Here is the problem for today: Each month, Kofi's cheese shop sells 68lbs of cheddar cheese and 36lbs of swiss cheese. He buys the cheddar in 10lb blocks for 96.50 each He buys the swiss in 3lb rounds for 37.00 each He then divides the cheese into smaller 4oz packages, which he sells for 4.50 each. He discards unsold cheese at the end of each month. How much profit does he make on cheddar cheese each year? Good Luck!!! I got $6,582 once I noticed the smaller packages were oz. not lb. Quote Link to comment Share on other sites More sharing options...
Arcadia Posted October 12, 2012 Share Posted October 12, 2012 Each month, Kofi's cheese shop sells 68lbs of cheddar cheese He buys the cheddar in 10lb blocks for 96.50 each He then divides the cheese into smaller 4oz packages, which he sells for 4.50 each. He discards unsold cheese at the end of each month. How much profit does he make on cheddar cheese each year? I ignore all the information about swiss cheese. cost of cheddar cheese in a year = 7 x $96.50 x 12 = $8,106 sale of cheddar cheese in a year = 68 x (16/4) x $4.50 x 12 = $14,688 profit in a year = $14,688 - $8,106 = $6,582 Quote Link to comment Share on other sites More sharing options...
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