The purchase price of a camera is $84. The carrying case is 12% of the purchase price. Tax is 6% of the subtotal. What is the total cost for the camera and case plus tax?

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Answer 1 · 2018-01-27T04:27:18

#T = $99.72#

Let #p# be the purchase price #= $84#. The carrying case, #c#, is #12%# of the purchase price:

#c = 0.12p#

The subtotal is #s=c+p#:

#s=c+p = 0.12p+p = 1.12p#

Tax, #tx#, is #6%# of #s# which is

#tx = 0.06s = 0.06*1.12p = 0.0672p#

The total, #T#, is the subtotal, #s# plus the tax, #tx#:

#T = s+tx = 1.12p+0.0672p = 1.1872p = 1.1872 * $84#

# -> T = $99.7248#

Which is conventionally rounded to 2 decimal places:

#T = $99.72#