Respuesta :
Based on the given conditions, formulate:
10 x (20 - X) + 5 x X = 125
Solve the equation and your answer is:
x = 15
10 x (20 - X) + 5 x X = 125
Solve the equation and your answer is:
x = 15
There are 5 bills of $5 and 15 bills of $10.
What is system of equations?
A collection of two or more equations with. the same set of unknowns is called system of equations.
What is substitution method?
The substitution method is the algebraic method to solve simultaneous linear equations. In this method, the value of one variable from one equation is substituted in the other equation.
Let x be the total number of bills of $5.
And y be the total number of bills of $10.
According the question.
[tex]x + y = 20[/tex]..(i)
And
[tex]5x+10y = 125[/tex]...(ii)
Solve the above system of equations by substitution method.
From equation (i)
[tex]x = 20-y[/tex]
Substitute the value of y in equation (ii)
⇒ [tex]5(20 -y) + 10y = 125[/tex]
⇒ [tex]100 - 5y + 10y = 125[/tex]
⇒ [tex]100 + 5y = 125[/tex]
⇒ [tex]5y = 125 -100[/tex]
⇒ [tex]5y = 25[/tex]
⇒ [tex]y = 5[/tex]
Therefore,
[tex]y = 20 - 5\\[/tex]
⇒ [tex]y = 15[/tex]
Hence, there are 5 bills of $5 and 15 bills of $10.
Find out more information about system of equations and substitution method here:
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