Window Cleaning Squeegies
You become employed with a large window cleaning company. The boss gives you $100, the address of the supply house, and instructs you to buy exactly 100 squeegies ... and you must spend all the money. He gives you the company tax number so that sales tax will not be charged.
When you arrive at the supply house, you are perplexed. There are three different squeegie types ... the supply house manager tells you the company you are representing ususally buys some of each type. The red ones cost $6.00 each ... the yellow ones cost $3.00 each ... and the blue ones are $0.10 each.
How many of each squeegie should you buy? ... remembering that the entire $100 must be spent ... and that you must buy some of each type.
When you arrive at the supply house, you are perplexed. There are three different squeegie types ... the supply house manager tells you the company you are representing ususally buys some of each type. The red ones cost $6.00 each ... the yellow ones cost $3.00 each ... and the blue ones are $0.10 each.
How many of each squeegie should you buy? ... remembering that the entire $100 must be spent ... and that you must buy some of each type.
posted by Zaux at
10:28 PM
10 Comments:
1 red =$6.00
1 Yellow =$3.00 ($9.00)
10 blue = $1.00 ($10.00)
12X10=120 squeegees
1 R=$6
29 Y=$87
70 B=$7
Total: 100, $100
Cam
I think there can be many solutions for this, since the ration of each color is not prescribed.
5R x $6 = $30
10Y x $3 = $30
400B x $0.1 = $40
So total 415 squeegees.
Was I the only to read this part ?
" and instructs you to buy exactly 100 squeegies"
Cam
*1) 6R+3Y+0.1B=100
*2) R+Y+B=100
from 10x *1 - *2
59R+29Y=900
Y=(900-59*R)/29
R can only go from 0 to 16 to be <$100
Y must be int
so 900-59*R must be mod 29=0
900 mod 29=1
59 mod 29=1
1-1*R=0
R=1
beyond that it will take R=1+29*n where n=int to have mod 0 again, but that would be >16, so solution is unique
R=1
Y=(900-59*R)/29=29
B=100-(1+29)=70
R=1
Y=29
B=70
Cam
This post has been removed by the author.
Cam wins the golden squeegie award ...
Red 1
Yellow 29
Blue 70
total: 100
This post has been removed by the author.
There's only one solution
Red 1
Yellow 29
Blue 70
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