anonymous
  • anonymous
The price of an all-access ticket to the fair is $42.99 before tax. Roland bought the all-access ticket for 40% off. He then paid 7% sales tax on the discounted price. Part A: How much did Roland pay in sales tax? Show all work and steps in your solution. Part B: What is the total amount that Roland paid for the ticket? Show all work and steps in your solution
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@jim_thompson5910 my sale tax is 1.74
anonymous
  • anonymous
40%*42.99-17.19 =24.99 then I find t
anonymous
  • anonymous
7% of 24.99

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jim_thompson5910
  • jim_thompson5910
x = original price of ticket 40% off means he pays 60% of the full price, so 0.60x 7% tax means he has to add an additional 0.07*(0.60x) = 0.042x to the final cost so the total cost is 0.60x+0.042x = 0.642x
jim_thompson5910
  • jim_thompson5910
hopefully you're seeing how I'm getting all this?
anonymous
  • anonymous
yes I do
jim_thompson5910
  • jim_thompson5910
"The price of an all-access ticket to the fair is $42.99 before tax" so ignore the tax part and just focus on 0.60x
jim_thompson5910
  • jim_thompson5910
0.60x = 42.99 x = ???
anonymous
  • anonymous
I was thinking about the reduce
jim_thompson5910
  • jim_thompson5910
hmm I'm not sure if $42.99 is the price BEFORE the 40% reduction? or AFTER the 40% reduction?
anonymous
  • anonymous
that was confusing
jim_thompson5910
  • jim_thompson5910
yeah I'm stuck too
anonymous
  • anonymous
guess tax is always paid last
jim_thompson5910
  • jim_thompson5910
yeah true
jim_thompson5910
  • jim_thompson5910
but I'm still not sure if $42.99 is the original cost or the reduced cost
anonymous
  • anonymous
after re-reading i think its the original and just to show how they arrive at it base on the calculation
jim_thompson5910
  • jim_thompson5910
ok so if $42.99 is the original price before the 40% reduction then 60% of 42.99 = 0.60*42.99 = ??
anonymous
  • anonymous
71.65
jim_thompson5910
  • jim_thompson5910
.6*42.99 = 25.794
anonymous
  • anonymous
25.79
jim_thompson5910
  • jim_thompson5910
original price before reduction = $42.99 price after reduction = $25.79
jim_thompson5910
  • jim_thompson5910
now take 7% of that reduced price to find how much tax is paid
anonymous
  • anonymous
1.81
jim_thompson5910
  • jim_thompson5910
good
anonymous
  • anonymous
23.98 he paid for tickets
jim_thompson5910
  • jim_thompson5910
total price = (price after reduction) + (tax)
anonymous
  • anonymous
27.60
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
thanks for your help
jim_thompson5910
  • jim_thompson5910
no problem

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