Question

Leo sold a used computer system and software for $2100, receiving four times as much money for the computer system as for the software. Write an equation for this problem.

A) 4x - y = 2100
B) 4y - x = 2100
C) x - 4y = 2100
D) y - 4x = 2100

Answer 1

The equation that represents this problem is 4y - x = 2100. Let x be the amount of money received for the software and y be the amount of money received for the computer system. By setting up the equations y = 4x and x + y = 2100, you can solve for x and y to find their values.

Step-by-step explanation:

The equation that represents this problem is B) 4y - x = 2100.

Let's define x as the amount of money received for the software and y as the amount of money received for the computer system.

According to the problem, Leo received four times as much money for the computer system as for the software. This can be represented as y = 4x.

Additionally, Leo received a total of $2100 for both the computer system and the software. This can be represented as x + y = 2100.

Combining these two equations, we get:

• y = 4x
• x + y = 2100

Substituting y = 4x into the second equation, we get:

x + 4x = 2100

5x = 2100

x = 420

Substituting x = 420 into y = 4x, we get:

y = 4(420) = 1680

Therefore, the equation that represents this problem is 4y - x = 2100.