Answer :
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.
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.
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
