Sarah charges $6.00 for one bracelet.
We know that a collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics.
Let Sarah charges $x and $y for one bracelet and one ring respectively.
Since her first customer spends $48 on 3 bracelets and 10 rings, we can write it as
3x + 10y = 48 ...(1)
Since her second customer spends $54 on 7 bracelets and 4 rings, we can write it as
7x + 4y = 54 ...(2)
Now, we have to solve this system of linear equations.
Multiplying (1) by 2, 6x + 20y = 96 ...(3)
Multiplying (2) by 5, 35x + 20y = 270 ...(4)
Subtracting (3) from (4), 35x + 20y - 6x - 20y = 270 - 96
i.e. 29x = 174
i.e. x = 174/29 = 6
Therefore we can conclude that Sarah charges $6 for one bracelet. Option B is correct.
Know more about the system of linear equations here -
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