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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

Sagot :

Answer:

29 $1 bills and 14 $5 bills.

Step-by-step explanation:

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

1) [tex]x+y=43[/tex]

2) [tex]1x+5y=99[/tex]

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:

[tex]5x+5y=215[/tex]

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

[tex]4x=116[/tex]

Thus, [tex]x=29[/tex]. To find y, just substitute x for 29 in the first equation to get:

[tex]29+y=43[/tex]. Therefore, [tex]y=14[/tex]. 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 :)

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