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You purchase two bottles of sunscreen and a hat. The hat costs$6.50. you pay 6% sales tax. You pay a total of $16.43. How much does one bottle of sunscreen cost?

Respuesta :

apocritia

Solution:

Let the bottle of  sunscreen cost be $x. Then we can write

($x+ $6.50)+6%($x+ $6.50)=$16.43

Now solve this for x as below

[tex] ($x+ $6.50)+\frac{6}{100}($x+ $6.50)=$16.43\\  [/tex]

[tex] \frac{100x+650+6x+39}{100}=16.43\\ \\ 106x+689=1643\\ \\ 106x=1643-689\\ \\ 106x= 954\\ \\ x=9\\ [/tex]

Hence the  bottle of sunscreen cost $9.

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