Malcom has $1043 in bills of the following denominations: hundreds, fifties, twenties, fives, and ones. He has three times as many fifties as hundreds, twelve times as many twenties as hundreds, and four times as many ones as hundreds. He has nine more fives than hundreds. How many of each denomination of bill does he have?

Question

ranga · Answer

Assume he has x hundred dollar bills.  Then read the problem and see what they say about other bills.

For example, "He has three times as many fifties as hundreds" means
The number of 50 dollar bills will be 3x

You try for the other bills.

anonymous · Answer

so it be 3x + 50 = $1054?

anonymous · Answer

what this mean? twelve times as many twenties as hundreds, and four times as many ones as hundreds. He has nine more fives than hundreds.  12x + 100 ~~~~~ 4x + 100s? 
 5x + 100?

ranga · Answer

"twelve times as many twenties as hundreds"  means the number of 20 dollar bills that he has is 12 times the number of hundred dollar bills.
We assumed he has x hundred dollar bills.  So he must have 12x twenty dollar bills.

anonymous · Answer

OH
 i think i get it...

5x + 50 = 1054
12x + 100? = 1054

ranga · Answer

No. Each one of them does not add to $1043

No. of hundred dollar bills = x
No. of fifty dollar bills = 3x
No. of twenty dollar bills = 12x
No. of one dollar bills = 4x

x hundred dollar bills means, the amount is 100x
3x fifty dollar bills means, the amount is 50 times 3x = 150x
12x hundred dollar bills means, the amount is 20 times 12x = 240x
4x one dollar bills means, the amount is 1 times 4x = 4x

Add up all the individual amounts and equate it to $1043 and solve for x

anonymous · Answer

ANSWER IS  1.94 ?

anonymous · Answer

u forgot  9 times 5x

ranga · Answer

Yes, No. of five dollar bills = (9 + x)
For the five dollar bills it is different.  It is not 9 times but 9 more.  So it is (9+x).

No. of hundred dollar bills = x 
No. of fifty dollar bills = 3x 
No. of twenty dollar bills = 12x 
No. of one dollar bills = 4x
No. of five dollar bills = (9 + x) 

x hundred dollar bills means, the amount is 100x 
3x fifty dollar bills means, the amount is 50 times 3x = 150x 
12x hundred dollar bills means, the amount is 20 times 12x = 240x 
4x one dollar bills means, the amount is 1 times 4x = 4x 
(9+x) five dollar bills means, the amount is 5 times (9+x) = 45 + 5x

Add up all the individual amounts and equate it to $1043 and solve for x