Question

You have a stack of bills with $1 bills and $5 bills in it. you have 43 total bills equaling $99 how many of each type of Bill do you have.
Number of $1 bills.
Number of $5 bills
Solve using substitution or elimination show all work

Answer 1

Answer:

29 $1 bills and 14 $5 bills.

Step-by-step explanation:

Let $x$ be the number of $1 bills and $y$ be the number of $5 bills. With the information given, we can set up two equations:

1) $x+y=43$

2) $1x+5y=99$

There are two ways to solve it; with elimination or substitution. In this explanation, I will solve it with elimination.

To solve it with elimination, multiply the first equation by 5 to get:

$5x+5y=215$

Then, you can subtract the equation we just got by the second equation to get:

$4x=116$

Thus, $x=29$. To find y, just substitute x for 29 in the first equation to get:

$29+y=43$. Therefore, $y=14$. That means that there are 29 $1 bills and 14 $5 bills. You can check by substituting those values for x and y in either of the first two equations.

Hope this helps :)