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A student has some​ $1 and​ $5 bills in his wallet. He has a total of 14 bills that are worth ​$34. How many of each type of bill does he​ have?

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apocritia

Solution:

we are given that

A student has some​ $1 and​ $5 bills in his wallet.

Let there x $1 bills and y number of $5 bills.

He has a total of 14 bills that are worth ​$34.

So we can write

[tex]x+y=14[/tex]

[tex]x+5y=34[/tex]

Now solve these two equations together using substitution as follows

[tex]14-y+5y=34\\ \\ 4y=34-14\\ \\ 4y=20\\ \\ y=5\\ \\ x=14-y=14-5=9\\[/tex]

Hence there are 9 $1 bills and 5 bills are of $5.

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