Question

A cash box of $1 and $5 is worth $165. The number of $5 bills is twice as much as $1 bills. How many of each bill does it contain? State both the unknown variable/expression for the two quAntities and the equation

Answer 1

To find the number of $1 and $5 bills in the cash box, we set up the value equation and solve for the unknown variables. The number of $1 bills is 15 and the number of $5 bills is 30.

Step-by-step explanation:

The correct answer is option Mathematics. The problem involves finding the number of $1 and $5 bills in a cash box. Let's assign the variables:

Let x = the number of $1 bills

Since the number of $5 bills is twice as much as the number of $1 bills, let 2x = the number of $5 bills

The value equation is as follows:

Value of $1 bills + Value of $5 bills = Total Value

1(x) + 5(2x) = 165

Now simplify and solve for x:

x + 10x = 165

11x = 165

x = 15

Therefore, there are 15 $1 bills and 2(15) = 30 $5 bills in the cash box.