SOLUTION: On the purchase of a plasma TV, the total cost to the customer (including 6% GST and 7% PST) came to $2822.74. How much GST and how much PST did the customer pay?

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: On the purchase of a plasma TV, the total cost to the customer (including 6% GST and 7% PST) came to $2822.74. How much GST and how much PST did the customer pay?      Log On


   

Question 262273: On the purchase of a plasma TV, the total cost to the customer (including 6% GST and 7% PST) came to $2822.74. How much GST and how much PST did the customer pay?
Answer by nerdybill(7384) About Me  (Show Source):
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On the purchase of a plasma TV, the total cost to the customer (including 6% GST and 7% PST) came to $2822.74. How much GST and how much PST did the customer pay?
.
Let x = cost of plasma tv
then
.06x = GST cost
.07x = PST cost
.
x + .06x + .07x = 2822
x(1 + .06 + .07) = 2822
x(1.13) = 2822
x = 2822/1.13
x = $2497.35
.
GST cost:
.06x = .06(2497.35) = $149.84
PST cost:
.07x = .07(2497.35) = $174.81