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Answer :
To solve the problem of determining how much Joaquín cooperated and the amount Luis contributed, we can break it down into a few steps:
1. Understand the contributions:
- Luis contributed [tex]\(\frac{1}{2}\)[/tex] of the total cost.
- Mario contributed [tex]\(\frac{1}{4}\)[/tex] of the total cost.
- Joaquín contributed the remaining portion.
2. Determine the total cost of the ball:
- The total cost is [tex]$160.
3. Calculate Luis's contribution in dollars:
- Since Luis cooperated with \(\frac{1}{2}\) of the total cost, we calculate \(\frac{1}{2} \times 160\).
- This gives us $[/tex]80.
4. Determine the fraction Joaquín contributed:
- We know that Luis and Mario together contributed [tex]\(\frac{1}{2} + \frac{1}{4} = \frac{3}{4}\)[/tex] of the total cost.
- Hence, Joaquín contributed the remaining fraction, which is [tex]\(1 - \frac{3}{4} = \frac{1}{4}\)[/tex].
Therefore, Joaquín cooperated with [tex]\(\frac{1}{4}\)[/tex] of the total money, and Luis contributed $80.
1. Understand the contributions:
- Luis contributed [tex]\(\frac{1}{2}\)[/tex] of the total cost.
- Mario contributed [tex]\(\frac{1}{4}\)[/tex] of the total cost.
- Joaquín contributed the remaining portion.
2. Determine the total cost of the ball:
- The total cost is [tex]$160.
3. Calculate Luis's contribution in dollars:
- Since Luis cooperated with \(\frac{1}{2}\) of the total cost, we calculate \(\frac{1}{2} \times 160\).
- This gives us $[/tex]80.
4. Determine the fraction Joaquín contributed:
- We know that Luis and Mario together contributed [tex]\(\frac{1}{2} + \frac{1}{4} = \frac{3}{4}\)[/tex] of the total cost.
- Hence, Joaquín contributed the remaining fraction, which is [tex]\(1 - \frac{3}{4} = \frac{1}{4}\)[/tex].
Therefore, Joaquín cooperated with [tex]\(\frac{1}{4}\)[/tex] of the total money, and Luis contributed $80.
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