SOLUTION: A cashier has a total of 105 bills, made up of tens and hundreds. The total value of the money is $6450. How much of each kind does he have? ________ tens and _________ hundreds

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A cashier has a total of 105 bills, made up of tens and hundreds. The total value of the money is $6450. How much of each kind does he have? ________ tens and _________ hundreds       Log On


   

Question 259718: A cashier has a total of 105 bills, made up of tens and hundreds. The total value of the money is $6450. How much of each kind does he have?
________ tens and _________ hundreds
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.T%2BH=105
2.10T%2B100H=6450
Use eq. 1,
T%2BH=105
T=105-H
Now substitute into eq. 2,
10T%2B100H=6450
10%28105-H%29%2B100H=6450
%281050-10H%29%2B100H=6450
90H=5400
H=60
Then from eq. 1,
T=105-H
T=105-60
T=45
45 $10 bills and 60 $100 bills.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A cashier has a total of 105 bills, made up of tens and hundreds. The total value of the money is $6450. How much of each kind does he have?
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Quantity Eq: t + h = 105
Value Eq: 10t+100h = 6450
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Modify the equations:
t + h = 105
t + 10h = 645
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Subtract the 1st from the 2nd and solve for "h":
9h = 540
h = 60 (# of hundred dollar bills)
t = 105-60 = 45 (# of ten dollar bills)
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Cheers,
Stan H.



________ tens and _________ hundreds