Jack has 34 bills and coins in 5’s and 2’s. The total value is $116. How many 5 dollar bills does he

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Jack has 34 bills and coins in 5’s and 2’s. The total value is $116. How many 5 dollar bills does he have?

Let the number of 5 dollar bills be f. Let the number of 2 dollar bills be t. We're given two equations:

1. f + t = 34
2. 5f + 2t = 116

We have a system of equations, which we can solve 3 ways:

1. Substitution Method
2. Elimination Method
3. Cramer's Rule

No matter which method we choose, we get the same answers:

• f = 16
• t = 18