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NEED HELP WITH WORD PROBLEMS?
Hi i am working on some mind boggling word problems for my algebra class and there are a few i just cant seem to get a grasp on. can someone pleeeeeeeeease help me out, itll be greatly appreciated...
1. Suppose that one slice of mincemeat pie has as many calories as six ounces of pot roast and a piece of chocolate fudge. Suppose that a piece of chocolate fudge has six calories more than four ounces of pot roast. Suppose that one slice of mincemeat pie and nine ounces of pot roast has 944 calories. How many calories would be in one piece of fudge?
2. Suppose there are 20 people around the banquet table, including your self. Suppose one person who is sitting at the head of the table weighs the least and that going around the table, each person weighs 3 pounds more than the previous person. If the combined weight of all the people is 2 tons, find the weight of the person at the head of the table.
3. Suppose 5 cooks, all working at the same speed can peel 7 potatoes all the same size in 3 minutes. How long would it take 7 cooks to grate 21 potatoes? Please answer in minutes and seconds.
2 Answers
- Anonymous10 years agoFavorite Answer
1. The first step is to convert the problem into mathematical equations. Doing so yields this:
M=6R+F
F=4R+6
M+9R=944
where M=calories in one slice of Mincemeat pie, R=calories in one ounce of pot Roast, and F=calories in one piece of chocolate Fudge. The next step is solving for F, which is the answer to the problem. You have three equations and three unknowns, so you can solve this like you would any other system of equations. If my math is correct, F should be 3866/19 or 203.474.
2. Turning the problem into an equation results in this:
2 tons (assuming it means short tons)=4000 pounds=x+(x+3)+(x+6)+ . . . +(x+57)=20x+570
where x=weight in pounds of the person at the head of the table. Simplifying results in x=171.5 pounds.
3. Based on the given information, one cook peels potatoes at a rate of .4667 potatoes/min. If you have 7 cooks that need to peel 21 potatoes, then each cook would peel three potatoes. One cook can peel three potatoes in 6.428 minutes or 6 minutes and 26 seconds, and this is the answer to the question because the 7 cooks each peel their 3 potatoes at the same time resulting in 21 peeled potatoes.
Source(s): Common Knowledge, Algebra, and Arithmetic
