Omar collected twice as many dollar bills as fives and one fewer ten than fives. If Omar collected $58 how many tens, fives, and ones did he get

Question

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Answer 1

Omar collected a total of $58.  From the total, he had different types of dollar bills.  We set variables for the different types of bills.

 

Number of $5 bills = x

Number of $1 bills = 2x

Number of $10 bills = x - 1

 

Now we can set the equation to show the total amount of money he collected.

 

5(x) + 1(2x) + 10(x - 1) = 58

 

 

Solve for x.

 

5x + 2x + 10x - 10 = 58

 

17x - 10 = 58

 

 

Add 10 on both sides of equation.

 

17x = 68

 

 

Divide both side of equation by 17.

 

x = 4

 

 

Substitute this value of x into the variables to find the number of each type of dollar bills.

 

Number of $5 bills = 4

Number of $1 bills = 8

Number of $10 bills = 3