Asked by Monica
A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and twenty-one more quarters than dimes. How many coins of each did she return?
I don't know why but this is stumping me. Help plz.!
I don't know why but this is stumping me. Help plz.!
Answers
Answered by
Reiny
number of nickels ---- x
number of dimes ---- x+9
number of quarters --- (x+9) + 21 = x + 30
so ...
5x + 10(x+9) + 25(x+30) = 1000
5x + 10x + 90 + 25x + 750 = 1000
40x = 160
x = 4
So 4 nickels, 13 dimes and 34 quarters
check:
4 nickesl === $0.20
13 dimes === $1.30
34 quarter == $8.50 for a total of $10.00
number of dimes ---- x+9
number of quarters --- (x+9) + 21 = x + 30
so ...
5x + 10(x+9) + 25(x+30) = 1000
5x + 10x + 90 + 25x + 750 = 1000
40x = 160
x = 4
So 4 nickels, 13 dimes and 34 quarters
check:
4 nickesl === $0.20
13 dimes === $1.30
34 quarter == $8.50 for a total of $10.00
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