Answer :
To find out how many guitars Sam has, we set up a system of equations with the given information and solve it to discover that Sam has 4 guitars.
The question involves solving a simple algebra problem to find out how many guitars Sam has. Given that a violin has 4 strings and a guitar has 6 strings, and Sam has 5 instruments with a total of 28 strings, we can set up the following equation where v represents the number of violins and g represents the number of guitars:
4v + 6g = 28
Since Sam has 5 instruments, we also know that:
v + g = 5
To solve this system of equations, we can express v in terms of g from the second equation:
v = 5 - g
Plugging this into the first equation:
4(5 - g) + 6g = 28
20 - 4g + 6g = 28
2g = 8
g = 4
Sam has 4 guitars and, accordingly, 1 violin (since he has 5 instruments in total).
Answer:
4 of them
here's why
[tex]6 * 4 = 24\\24 + 4v = 28[/tex]
v means violin. it's an algebra variable I used to shorten the problem.
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