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

21

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).