Question

1. The price of a set of luggage was reduced by $35 for a pre-holiday sale. After the holiday, the set's price tag was marked with an additional discount of 35% of the price during the pre-holiday sale. Let P represent the price of the set of luggage before the sale Which of the following gives an expression representing the price of the set of after the holiday and the final price of the set, if it's original price P was $200?

a) P-0.35*(P-35); $107.25
b) 0.65*(P)-35; $107.25
c) 0.65*(P-35; $107.25
d) 0.65p-22.75; $95.00

Answer 1

c) 0.65*(P-35); $107.25

This can be easily found by elimination and plugging in.
We know it can't be "d" because that's the only answer with $95.00. It can't be "a" either because it starts with (P-0.35), unlike the other answers. Now you're left with "b" and "c".

We know that the original price is 200, which we plug in for "P".
b) 0.65*(P)-35
0.65*(200)-35
130-35 = 95
This doesn't equal $107.25, so it can't be the answer.

c) 0.65*(P-35)
0.65*(200-35)
0.65*(165) = $107.25
Therefore the answer is C.