Question 530953
3 consecutive integers can be defined as:
x
x+1
x+2
.
We're told these correspond to $1 bills, $5 bills, and $10 bills.
.
x + 5(x+1) + 10(x+2) = 185
.
x +5x +5 + 10x + 20 = 185
.
16x + 25 = 185
.
16x = 160
.
x = 10 = number of $1 bills
x+1 = 11 = number of $5 bills
x+2 = 12 = number of $10 bills
.
Check the value to be sure this is the answer.
1(10) + 5(11) + 10(12) = 10 + 55 + 120 = 185
Correct.
.
Done.