A man has $185 in five and ten dollar bills. How many of each did he has if he had 7 more fives than tens?

**x = number of ten dollar bills**

**x + 7 = number of five dollar bills**{he has 7 more fives than tens}

10x + 5(x + 7) = 185 {value of bill times number of bills equals total value}

10x + 5x + 35 = 185 {used distributive property}

15x + 35 = 185 {combined like terms}

15x = 150 {subtracted 35 from each side}

x = 10 {divided each side by 15}

x + 7 = 17 {substituted 10, in for x, into x + 7}

**10 ten dollar bills**

**17 five dollar bills**

*- Algebra House*