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Sam plays the violin and the guitar. There are 4 strings on a violin and 6 strings on a guitar. If he has 5 instruments with a total of 28 strings, how many of his 5 instruments are guitars?

Answer :

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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Rewritten by : Barada

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).