contestada

The sum of Sharon's and John's ages is 70. John is 4 times as old as Sharon. If you let Sharon's age and John's age, then the problem can be represented by a system of equations. Which of the following shows a graph of this system and the solution to this problem?

Respuesta :

wolfsaway

Hi there, in order to figure this out look at the sum 70. If you want to find the age your going to have to break it down. So, to figure this out I found that Sharon is 14. It took me a while, using different numbers but I worked with 14 and multiplied it by four and found that John is 56, making that x4 older than Sharon. If you divide 56 by 4, you'll get 14, just to check your answer. And to make sure this is correct I added 56 and 14 together to get 70.

MrRoyal

The relationship between Sharon's and John's ages form a system of simultaneous equation. When the equations are represented and solved graphically, Sharon's age is 14 while John's 56.

Let:

[tex]S \to[/tex] Sharon

[tex]J \to[/tex] John

So:

[tex]S + J = 70[/tex] --- the sum of their ages

[tex]J = 4S[/tex] --- the relationship between their ages

The system of equations is:

[tex]S + J = 70[/tex]

[tex]J = 4S[/tex]

The graphs are not given; so, I will add as an attachment, the graph of the system of equations

The solution is the point of intersection of the lines of [tex]S + J = 70[/tex]  and [tex]J = 4S[/tex]

So, we have:

[tex]S = 14[/tex]

[tex]J= 56[/tex]

Read more about system of equations at:

https://brainly.com/question/16763389

Ver imagen MrRoyal

Otras preguntas

Q&A Education