Answer:
He deposited 16 $5 bills.
Step-by-step explanation:
<u>State your variables</u>
let x be the number of $1 bills
let y be the number of $5 bills
<u>Create a system of equations</u>
x + 5y = 200 (eq'n 1 -- for amount of money)
x + y = 136 (eq'n 2 -- for number of bills)
<u>Solve the system for y</u>
I will solve using substitution. Rearrange eq'n 2 to isolate variable x.
x + y = 136
x = 136 - y (eq'n 3)
Substitute eq'n 3 into eq'n 1.
x + 5y = 200
136 - y + 5y = 200
136 + 4y = 200
4y = 64
y = 16
<u>Solve for x to check answer</u>
Substitute y = 16 into eq'n 2.
x + y = 136
x + 16 = 136
x = 120
Substitute x = 120 into eq'n 1.
x + 5y = 200
120 + 5(16) = 200
120 + 80 = 200
200 = 200
LS = RS Both sides are equal, so the solution is correct.
Therefore, Jack deposited 16 five dollar bills.