The selling price of a candy is $13.95 such that 60 candy bars and 110 drinks will sell for $265, and 120 candy bars and 90 drinks will sell for $270.
Linear Equation
A linear equation is an algebraic equation with simply a constant and a first-order (linear) component, such as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
To solve these types of word problems, first of all draft the mathematical linear equations and solve them accordingly.
How to solve the mathematical linear equations?
Let the selling price of each candy bar and the drink be [tex]x[/tex] and [tex]y[/tex] respectively.
According to the question, we can write-
[tex]60x+110y=265,\text{ and } 120x+90y=270[/tex]
Simplifying the above two equations, we get
[tex]12x+22y=53,\text{ and } 4x+3y=9[/tex]
From the equation, [tex]4x+3y=9[/tex], we can write, [tex]y=\dfrac{9-4x}{3}[/tex]
Substitute this value in the equation [tex]12x+23y=53[/tex], we get
[tex]12x+22\left(\dfrac{9-4x}{3}\right)=53\\36x+66-\dfrac{88x}{3}=159\\\dfrac{108x-88x}{3}=159-66\\x=\dfrac{93\times 3}{20}\\x=13.95[/tex]
Thus, the selling price of candy is $13.95.
Learn more about mathematical linear equations here-
https://brainly.com/question/11897796
#SPJ2
