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the ratio of peters money to henrys money is 4 : 3 there at first. after perter spent 12 dollars they had an equal amount of money each. How much money id peter have at first

Respuesta :

Using a system of equations, it is found that Peter had $48 at first.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Peter's money.
  • Variable y: Henry's money.

The ratio of peters money to henrys money is 4 : 3, hence:

[tex]\frac{x}{y} = \frac{4}{3}[/tex]

After Peter spent $12, they had the same amount, hence:

y = x - 12.

Then, replacing in the ratio:

[tex]\frac{x}{y} = \frac{4}{3}[/tex]

[tex]\frac{x}{x - 12} = \frac{4}{3}[/tex]

4(x - 12) = 3x

x = 48.

More can be learned about a system of equations at https://brainly.com/question/24342899

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