Question

Since it's Wednesday, Buy for Less gives a 5% discount for purchases. The items in Rhonda's cart total $53.75. She needs to know the cost of the items with the discount. So, she multiplies 5% times $53.75 and subtracts the amount from $53.75. Which expression would give Rhonda the same result in one step? A) .90(53.75) B) .95(53.75) C) 1.05(53.75) D) 53.75 - .05(53.75)

Answer 1

she needs to count how much 90% is so

85.00 times 90%

or 8500 times 0.9

Answer 2

B) .95(53.75)

Explanation:

5% is equal to 0.05. So the following expressions are equivalent.

5% × 53.75 = 0.05 × 53.75

To find the final price, she first takes the 5% and then subtracts the amount from 53.75. That is,

53.75 - 5% × 53.75 = 53.75 - 0.05 × 53.75

We can take out the common factor 53.75

53.75 . (1 - 0.05) = 53.75 . 0.95 = 0.95 . 53.75 = 0.95 (53.75)