math word problem

Question

Three times the price of a laptop is equal to five times the price of a computer .

if the price is $ 200 more than the computer what is the price of the computer

Answer 1

Hi there,

Let's use the variable c to represent the cost of the computer .

Since the cost of the laptop is $200 more than the computer, we can write the following expression to represent the cost of the laptop:

c + $200

We also know that three times the cost of the laptop is equal to five times the cost of the computer. We can write the following equation to show this:

3 * cost of laptop = 5 * cost of computer

3(c+ 200) = 5c

Now we can solve this equation for c:

3c + 600 = 5c

3c + 600 - 3c == 5c - 3c

600 = 2c

600/2 =2c/2

$300 = c

The computer will cost $300.

The laptop will be $200 + 300 =$500