Question

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?

Answer 1

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

`($x+ $6.50)+(6)/(100)($x+ $6.50)=$16.43\\`

`(100x+650+6x+39)/(100)=16.43\\ \\ 106x+689=1643\\ \\ 106x=1643-689\\ \\ 106x= 954\\ \\ x=9\\`

Hence the bottle of sunscreen cost $9.