Pls help

visual6x

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A prize of $720.00 was divided between three friends. Martin and Daniel respectively received 1/4 and 3/5 of the amount that Joseph received. What was the amount that Joseph received?
 

MarkFL

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Hello, and welcome to FMH! :)

I would use a bit of algebra to solve this problem. Suppose we let \(J\) be the amount Joseph received. And then:

\(\displaystyle M=\frac{1}{4}J\) is the amount Martin received

\(\displaystyle D=\frac{3}{5}J\) is the amount Daniel received

Now, we know the sum of the amounts recieved is the total prize (in dollars)

\(\displaystyle M+D+J=720\)

\(\displaystyle \frac{1}{4}J+\frac{3}{5}J+J=720\)

Can you finish?
 

Subhotosh Khan

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A prize of $720.00 was divided between three friends. Martin and Daniel respectively received 1/4 and 3/5 of the amount that Joseph received. What was the amount that Joseph received?
Please review your original problem and make sure you posted correct numbers.

The numbers are not coming out "nice". These problems generally have nice numbers - specially if these are to be solved "without" algebra.
 

visual6x

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Jan 25, 2020
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Hello, and welcome to FMH! :)

I would use a bit of algebra to solve this problem. Suppose we let \(J\) be the amount Joseph received. And then:

\(\displaystyle M=\frac{1}{4}J\) is the amount Martin received

\(\displaystyle D=\frac{3}{5}J\) is the amount Daniel received

Now, we know the sum of the amounts recieved is the total prize (in dollars)

\(\displaystyle M+D+J=720\)

\(\displaystyle \frac{1}{4}J+\frac{3}{5}J+J=720\)

Can you finish?
yeah, tbh i've already finished it
i wanted an second opinion on the execution because the answer is not on the alternatives of the problem
but its a problem with the site i guess :D

i attached a file with the original question, the language is brazilian portuguese, but its the same problem of the thread.

thank you so much !
 

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visual6x

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Please review your original problem and make sure you posted correct numbers.

The numbers are not coming out "nice". These problems generally have nice numbers - specially if these are to be solved "without" algebra.
yeah the question is not wellmade
even the alternatives are all wrong
 

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MarkFL

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Yes, rounded to the nearest penny, I get:

\(\displaystyle J=389.19\)
 
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