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?

Question

7456 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-07T11:43:16

#color(blue)($4.50)#

Let #bbx# be a bottle of sunscreen.

Then #2x+"hat"=$16.43# including sales tax at 6%.

We can say that #$16.43# represents 106% of the price.

i.e. original goods are 100%, tax is 6%, total 106%

#:.#

#106%=16.43#

#1%=16.43/106#

#100%=100(16.43/106)=15.5#

So:

#2x+ "hat"=$15.50#

#2x+6.50=15.50#

#x=(15.50-6.50)/2=4.50#

1 bottle of sunscreen cost $4.50