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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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