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Problem 2: Lerato sold goats for R600 each. She made R3900 in total. The equation representing this is 600(x−15)=3900, where x is the initial number of goats. Solve for x and explain what x represents

Mathematics

ScanSolve AI Answer

Answer

c

x=21.5x = 21.5

Step-by-step solution

2 steps

Here's the solution to :

Part a

How much did he make?

The equation 600(x−15)=3900600(x-15)=3900 represents the total money Lerato made from selling goats. The value on the right side of the equation is the total amount made.
Lerato made R3900.

Part b

What does xx stand for?

In the equation 600(x−15)=3900600(x-15)=3900, xx represents the total number of goats Lerato had initially.

Part c

x=21.5x = 21.5

Solve the equation.

  1. Divide both sides by 600.

    600(x−15)=3900600(x-15)=3900 600(x−15)600=3900600\frac{600(x-15)}{600} = \frac{3900}{600} x−15=6.5x-15 = 6.5
  2. Add 15 to both sides.

    x−15+15=6.5+15x-15+15 = 6.5+15 x=21.5x = 21.5

    The solution to the equation is x=21.5\boxed{x = 21.5}.

Part d

What does xx stand for?

As explained in part b), xx stands for the total number of goats Lerato had initially.

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