Question

Anthony earned $131 in tips last night while working at the restaurant. If his tips consisted of $1 bills and $5 bills only and he counted 47 bills in total, then how many $5 bills did Anthony receive?

Answer 1

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;

$x + y = 47$ .........equation 1

For the total number of tips;

$x + 5y = 131$ ..........equation 2

*Solving the linear equation by using the substitution method*

Making x the subject in equation 1:

$x = 47 - y$ .......equation 3

Substituting "x" into equation 2;

$(47 - y) + 5y = 131$

Simplifying the equation, we have;

$47 + 4y = 131$

$4y = 131 - 47$

$4y = 84$

$y = \frac {84}{4}$

y = 21 (For the $5 bills).

Therefore, Anthony received 21 pieces of the $5 bills.

To find x;

Substituting "y" into equation 3;

$x = 47 - 21$

x = 26 (For the $1 bill).