SOLUTION: A person opens his wallet and finds that all the bills are​ $1 bills,​ $5 bills, or​ $10 bills. There are 35 bills in this​ person's wallet. There ar

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Question 1093106:
A person opens his wallet and finds that all the bills are​ $1 bills,​ $5 bills, or​ $10 bills. There are 35

bills in this​ person's wallet. There are 2

more​ $5 bills than​ $1 bills. If the total amount of bills is ​$228
​,
how many​ $10 bills does this person​ have?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39614)   (Show Source): You can put this solution on YOUR website!
8 ones
10 fives
17 tens
Answer by greenestamps(13196)   (Show Source): You can put this solution on YOUR website!

Let x be the number of $1 bills.

Since the number of $5 bills is 2 more than the number of $1 bills, the number of $5 bills is x+2.

The total number of $1 and $5 bills is now

and, since the total number of bills is 35, the number of $10 bills is


Now you have expressions in terms of a single variable x for the numbers of $1, $5, and $10 bills. Use those expressions to write an expression for the total value of all the bills -- $1 for each of the $1 bills, $5 for each of the $5 bills, and $10 for each of the $10 bills. Finally, since you know the total value of all the bills is $228, write and solve the equation that says so.


I'll let you finish from there, to get some practice.
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