The list price of the necklace is $17.99, solved using the linear equation.
In the question, we are asked to find the list price of the necklace which is bought online and we pay $25.06, including 6% sales tax and $5.99 in shipping fees.
We assume the list price of the necklace to be $x.
The sales tax on the necklace = 6% of the list price = 6% of $x = $(0.06*x) = $0.06x.
The shipping fee for the necklace = $5.99.
Thus, the total cost for the necklace = $x + $0.06x + $5.99 = $(1.06x + 5.99).
But, the total payment for the necklace is given to be $25.06.
Thus, equating both the values, we get a linear equation,
1.06x + 5.99 = 25.06.
This equation can be solved as follows:
1.06x + 5.99 = 25.06,
or, 1.06x + 5.99 - 5.99 = 25.06 - 5.99 {Subtracting 5.99 from both sides},
or, 1.06x = 19.07 {Simplifying},
or, 1.06x/1.06 = 19.07/1.06 {Dividing both sides by 1.06},
or, x = 17.99.
Thus, the list price of the necklace is $17.99, solved using the linear equation.
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