SOLUTION: A customer at a hardware store bought nails that cost a penny each, hooks that cost a dime each, and electrical tape that cost a half-dollar a roll. If the customer spent exactly $

Question 1012599: A customer at a hardware store bought nails that cost a penny each, hooks that cost a dime each, and electrical tape that cost a half-dollar a roll. If the customer spent exactly $5.00 (before tax was added) and purchased 100 items, how many of each item did she buy?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
.01x+.10y+.50 z=5.00
x+y+z=100
x has to be a multiple of 10
y is less than 47
z is less than or equal to 9
x+10y+50z=500
If z=9, y and x can't add to 100 and equal 0.50
z=8,
x+y=92
x+10y=100
-x-y=-92
9y=8, non-integer.
==============
z=1
x+y=99
x+10y=450
-x-y=-99
9y=351
y=39=$3.90
x=60=$0.60
z=1=0.50
$5.00

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