Answer:
21
Step-by-step explanation:
Let x = $1 bill
Let y = $5bill
Translating the word problem into an algebraic equation;
For the total number of bills;
[tex] x + y = 47[/tex] .........equation 1
For the total number of tips;
[tex] x + 5y = 131[/tex] ..........equation 2
*Solving the linear equation by using the substitution method*
Making x the subject in equation 1:
[tex] x = 47 - y[/tex] .......equation 3
Substituting "x" into equation 2;
[tex] (47 - y) + 5y = 131 [/tex]
Simplifying the equation, we have;
[tex] 47 + 4y = 131 [/tex]
[tex] 4y = 131 - 47 [/tex]
[tex] 4y = 84 [/tex]
[tex] y = \frac {84}{4} [/tex]
y = 21 (For the $5 bills).
Therefore, Anthony received 21 pieces of the $5 bills.
To find x;
Substituting "y" into equation 3;
[tex] x = 47 - 21[/tex]
x = 26 (For the $1 bill).
