jill has 9.96 dollar in nickels ,pennies,and dollar bills in her bank if she has 12 more pennies than nickels and 5 less dollar bills than nickels ,how many of each does she have?
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jill has 9.96 dollar in nickels ,pennies,and dollar bills in her bank if she has 12 more pennies than nickels and 5 less dollar bills than nickels ,how many of each does she have?
jill has 9.96 dollar in nickels ,pennies,and dollar bills in her bank if she has 12 more pennies than nickels and 5 less dollar bills than nickels ,how many of each does she have?
jill has 9.96 dollar in nickels ,pennies,and dollar bills in her bank if she has 12 more pennies than nickels and 5 less dollar bills than nickels ,how many of each does she have?
Let x represent the number of nickles Jill has,y represent the number of pennies,and z represent the number of dollar bills.
1) 0.05x+0.01y+z=9.96
2) y=x+12
3) x=z+5
subtitute 3) into 2)
y=z+5+12
3)a y=z+17
subtitute 3) & 3)a into 1)
0.05(z+5)+0.01(z+17)+z=9.96
5(z+5)+1(z+17)+100z=996
5z+25+z+17+100z=996
106z+42=996
106z=954
z=9
subtitute z=9 into 3)
x=9+5
x=14
subtitute x=14 into 2)
y=14+12
y=26
Therefore,Jill has 14 nickles,26 pennies,and 9 dollar bills in her bank.
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