Question

A stack of $20, $50, and $100 bills was retrieved as part of a police investigation. There were 40 more $50 bills than $100 bills. Also, the number of
$20 bills was 3 times the number of $100 bills. If the total value of the money was $9140, find the number of each type of bill.
The number of $100 bills was |
The number of $50 bills was
The number of $20 bills was

Answer 1

102772876199300bwjjjqgyq5q5ytq55

Answer 2

Answer:

The number of $100 bills was 30

The number of $50 bills was 30  

The number of $20 bills was 30

Step-by-step explanation:

$\mathrm{\ 100 \:bill} = x\\\\\mathrm{\ 50 \:bill} = x+49\\\\\ 20\: \mathrm{bill} = 3x$

$\mathrm{Total} = 6650$

$100x+50(x+49)+20\times3x=6650\\\\100x+50x+2450+60x=6650$

$210x+2450=6650\\\\210x=6650-2450\\\\210x=\frac{4200}{210}\\\\x=20$

$\ 100\: \mathrm{bill}: x = 20\\\\\ 50 \:\mathrm{bill} : x+49=69\\\\ 20 \mathrm{bill}: 3x=60$

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