How do I solve ?
Adam bought a basketball that was on sale for 25% less than the original price.The original price was $4 more than the sale price. What was the original Price?
p-4 = .75p
p = 16
or,
the discount is the price difference. So, .25p = 4
p=16
or
the sale price is 3/4 p, so the full price is 4/3 the sale price
4/3 s = s+4
1/3 s = 3
s = 12
so, p=s+4=16
As you see, there are usually several ways to consider things.
Leon bought a bike on sale for 75% less than the original price. The sale price was $41.00 less than original price. Find the original price and the sale price.
To solve this problem, let's break it down step by step:
1. Let's assume the sale price is represented by "x" dollars.
2. According to the problem, the original price is $4 more than the sale price, so the original price can be represented as "x + $4".
3. Adam bought the basketball on sale for 25% less than the original price. To find this discounted price, we can multiply the original price by 0.75 (as 1 - 0.25 = 0.75).
So, the discounted price is (x + $4) * 0.75 which can be simplifed as 0.75x + $3.
4. We know that the discounted price is equal to the sale price, therefore:
0.75x + $3 = x
5. Now, let's solve for "x" by subtracting 0.75x from both sides of the equation:
$3 = 0.25x
6. Divide both sides of the equation by 0.25 to isolate "x":
$3 / 0.25 = x
x = $12
Therefore, the sale price of the basketball (x) is $12. And the original price (x + $4) is $12 + $4 = $16.