Josephine has the same amount of $20 bills as she has $1 bills and four more $5
ID: 3038511 • Letter: J
Question
Josephine has the same amount of $20 bills as she has $1 bills and four more $5 bills than $1 bills for a total of $72. How many of each does she have ? Show work please Josephine has the same amount of $20 bills as she has $1 bills and four more $5 bills than $1 bills for a total of $72. How many of each does she have ? Show work please Josephine has the same amount of $20 bills as she has $1 bills and four more $5 bills than $1 bills for a total of $72. How many of each does she have ? Show work pleaseExplanation / Answer
Answer: 2 bills of $1, 6 bills of $5 and 2 bills of $20 (As explained below)
Let x, y and z be the number of $1, $5 and $20 bills, respectively. Then, as per given conditions we have:
z = x_________(1)
y = x + 4____________(2)
1x + 5y + 20z = 72___________(3)
Using substitution,we get:
1x + 5(x + 4) + 20x = 72
1x + 5x + 20 + 20x = 72
26x = 52
x = 2
Therefore, z = 2 and y = 6
Cross-check: $1(2) + $5(6) + $20(2) = $2 + $30 + $40 = $72.
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