If Isabella has $33, then they both have $154
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]
[tex]x = \frac{11y}{3}[/tex]
[tex]x = \frac{11(33)}{3}[/tex]
[tex]x = 121[/tex]
Isabella and Shane together will have :
Grade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Equation , Line , Variable , Line , Gradient , Point
