Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

The ratio of Isabella's money to Shane is 3:11
If she has $33, how much do they have together?

Sagot :

TSO
The ratio of Isabella’s money to Shane’s money is 3:11

Isabella has $33.   

We can make a proportion to solve for how much money Shane has.   
A proportion is two ratios that are set equal to each other.  

Let’s call Shane’s money ‘S’   

We get this proportion:   3/11 = 33/x   

If we cross multiply we get:   
(33) * (11) = (3) * (x)   

Simplifying it, we get:
363 = (3) * (x)   

Divide both sides by 3, we get:
x = 121   

However, the question asks how much money they have together. 

Isabella + Shane = Total
33 + 121 = $154   

They have $154 together.
johanrusli

If Isabella has $33, then they both have $154

Further explanation

Let the linear equation : [tex]y = mx + c[/tex]

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

[tex]\large {\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

[tex]\large {\boxed{y - y_1 = m ( x - x_1 )} }[/tex]

Let us tackle the problem!

Let :

Isabella's money = y

Shane's money = x

If the ratio of Isabella's money to Shane is 3 : 11 then :

[tex]y : x = 3 : 11[/tex]

[tex]3x = 11y[/tex]

[tex]\large {\boxed {x = \frac{11y}{3} } }[/tex]

Isabella has $33 → y = 33

[tex]x = \frac{11y}{3}[/tex]

[tex]x = \frac{11(33)}{3}[/tex]

[tex]x = 121[/tex]

Shane has $121

Isabella and Shane together will have :

x + y = $121 + $33 = $154

Learn more

  • Infinite Number of Solutions : https://brainly.com/question/5450548
  • System of Equations : https://brainly.com/question/1995493
  • System of Linear equations : https://brainly.com/question/3291576

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Equation , Line , Variable , Line , Gradient , Point

View image johanrusli
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.