Kelvin has just enough money to buy 15 files. If the price of each file is reduced by 30cents he will be able to buy 3 more files. What is the original price of each file?
Question
Kelvin has just enough money to buy 15 files. If the price of each file is reduced by 30cents he will be able to buy 3 more files. What is the original price of each file?
Solution
Let's solve this problem step by step:
Step 1: Let's denote the original price of each file as 'x' (in dollars). So, Kelvin has 15x dollars.
Step 2: If the price of each file is reduced by 30 cents, the new price becomes x-0.30 dollars.
Step 3: With the same amount of money, Kelvin can now buy 3 more files, so he can buy 18 files at the new price. This means that 15x = 18(x - 0.30).
Step 4: Let's solve this equation. First, distribute the 18 on the right side of the equation: 15x = 18x - 5.4.
Step 5: Then, subtract 18x from both sides of the equation: -3x = -5.4.
Step 6: Finally, divide both sides of the equation by -3 to solve for x: x = 5.4 / 3 = 1.8.
So, the original price of each file is $1.80.
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