SOLUTION: Several people want to split the tab. If each contributes $0.35, they lack $4.40. If each contributes $0.40, they have $4.40 extra. Find the number of people using algebra.

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Question 1144734: Several people want to split the tab. If each contributes $0.35, they lack $4.40. If each contributes $0.40, they have $4.40 extra. Find the number of people using algebra.
Found 2 solutions by richwmiller, ikleyn:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
My guess is that none of the people involved are using algebra or you would have an answer by now!
Find the number of people using algebra.
"Using algebra " is known as a dangling modifier. It is unclear from the sentence what is being modified by the phrase.
I suspect you really wanted to say, " Use algebra to find the number of people splitting the tab."
Thank you for the comic relief!
BTW "Tab" here means the bill. They each want to pay a portion of the bill.
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
Several people want to split the tab. If each contributes $0.35, they lack $4.40.
If each contributes $0.40, they have $4.40 extra. Find the number of people. .



           My task is to make an equation.  I will do it right now.  Watch my steps. 


Let X be the sum of money they need to collect.

And let "n" be the number of people.


According to the first scenario,  0.35*n + 4.40 = X  dollars.


According to the second scenario,  0.40*n - 4.40 = X  dollars.


It gives you an equation


    0.35n + 4.40 = 0.40n - 4.40,    or


    4.40 + 4.40 = 0.40n - 0.35n,

    8.80        = 0.05n

       n        =  =  = 176.     ANSWER

Solved.

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Added after reading the post by @richwmiller : 

     I think that taking off the words " . . . using algebra" from the original text is better solution.



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