Wheel’s Bicycle shop advertised a bicycle for 15% off for a savings of $36. The bicycle did not sell so it
was offered at a new 20% discount off the sale price.
(a) What did the bicycle sell for regularly? ______________
(b) What is the amount of the new discount? _____________
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42
7
The 15% = $36, so the original price is much higher than $42.
15%x = $36
x = 36/.15 = $240
240 - 36 = 204
20% of 204 = $40.80
To find the regular price of the bicycle, we need to first determine the sale price after the initial 15% discount.
Let's denote the regular price of the bicycle as "x."
Given that the bicycle was 15% off, the sale price can be calculated by taking 15% of the regular price and subtracting it from the regular price:
Sale price = x - 0.15x
We are also given that the savings on this sale price is $36. This means that the difference between the regular price and the sale price is $36:
x - (x - 0.15x) = $36
Simplifying the equation:
0.85x = $36
To solve for x, we divide both sides of the equation by 0.85:
x = $36 / 0.85
Calculating the value:
x = $42.35
Therefore, the regular price of the bicycle is $42.35.
To find the amount of the new discount, we need to calculate 20% of the sale price.
Given that the sale price is x - 0.15x, the new discount can be calculated as:
New discount = 0.2 * (x - 0.15x)
Simplifying the expression:
New discount = 0.2 * 0.85x
New discount = 0.17x
Substituting the value of x we found:
New discount = 0.17 * $42.35
Calculating the value:
New discount = $7.20
Therefore, the amount of the new discount is $7.20.