Ok, my question is ‘ last year the price of a certian computer was 150$ more than it is now. This year's price is 3/4 of last year's price. How much does the computer cost this year?‘. Can someone explain to me how to create an equation for this?

Question

Ok, my question is ‘ last year the price of a certian computer was 150$ more than it is now. This year's price is 3/4 of last year's price. How much does the computer cost this year?‘. Can someone explain to me how to create an equation for this?

Answer 1

current price ---- x

last year's price ---- x+150

x = (3/4)(x+150)

solve for x

Answer 2

Thanks, I was really confused with this problem for the last hour.

Answer 3

Sure! To create an equation to solve this problem, let's assign variables to the unknown values.

Let's say the price of the computer last year is represented by the variable x. According to the information given, last year's price was $150 more than it is now. Therefore, the price of the computer this year would be x - $150.

We are also told that this year's price is 3/4 of last year's price. So, we can set up the equation:

x - $150 = (3/4)x

Here, the left side of the equation represents this year's price (x - $150), and the right side represents 3/4 of the price last year ((3/4)x).

Solving this equation will give us the value of x, which represents the price of the computer last year.

Answer 4

Sure! To create an equation for this problem, let's break down the information given.

We are told that last year, the price of the computer was $150 more than it is now. Let's denote the current price of the computer as "P". So, last year's price can be represented as (P + $150).

We are also told that this year's price is 3/4 of last year's price. This means that the current price (P) is 3/4 of (P + $150). Using this information, we can set up the equation:

P = 3/4 * (P + $150)

Now, to solve for the current price (P), we can follow these steps:

1. Distribute 3/4 to both terms inside the parentheses:
P = (3/4)P + (3/4)($150)

2. Simplify the equation by multiplying the fractions:
P = (3/4)P + (3/4) * $150

3. Simplify further:
P = (3/4)P + 3/4 * $150

4. Convert $150 to a fraction:
P = (3/4)P + (3/4) * (150/1)

5. Multiply the fractions and simplify:
P = (3/4)P + (3/4) * (150/1)
P = (3/4)P + (450/4)

From here, you can solve for P by subtracting (3/4)P from both sides and simplifying the equation. The resulting equation will give the current price of the computer.