Question

Ratios and Proportions homework 14) The ratio of the amount of money Jason had to the amount of money Wilson had was 12:13. AfterWilson spent $63, Jason had 3 times as much money as Wilson.a) How much money did Jason have?b) How much money did they have altogether in the end?

Answer 1

Step-by-step explanation:

Let x represent the amount of money Jason spent

Let y represent the amount of money Wilson spent

From the information given in the question, we can go ahead and set up the below equations;

`\begin{gathered} (x)/(y)=(12)/(13) \\ x=(12y)/(13)\ldots.\ldots\ldots\ldots\text{.}\mathrm{}\text{Equation 1} \\ x=3(y-63)\ldots\ldots\ldots.Equation\text{ 2} \end{gathered}`

Let's equate both equations 1 and 2 and solve for y;

`\begin{gathered} (12y)/(13)=3(y-63) \\ (12y)/(13)=3y-189 \\ 12y=39y-2457 \\ 39y-12y=2457 \\ 27y=2457 \\ y=(2457)/(27) \\ y=91 \end{gathered}`

Substituting y with 91 in Equation 1 and solving for x, we'll have;