Answer: the number of $5 bills that are there is 22.
the number of $10 bills that are there is 30
Step-by-step explanation:
Let x represent the number of $5 bills that are there.
Let y represent the number of $10 bills that are there.
The total value of the $5 bills and $10 bills in a cash box is $410. This means that
5x + 10y = 410 - - - - - - - - - - - -- - -1
There are eight more $10 bills than $5 bills. This means that
y = x + 8
Substituting y = x + 8 into equation 1, it becomes
5x + 10(x + 8) = 410
5x + 10x + 80 = 410
15x + 80 = 410
15x = 410 - 80 = 330
x = 330/15 = 22
y = x + 8 = 22 + 8
y = 30
