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Sun 30 Nov, 2014 12:09 am
A money safe has a number of drawers. Each drawer has as many dividers as there are drawers. In each divider there are 4 times as many dollars as there are drawers.
Total amount of money in safe - $5,324.
Determine number of drawers.
What is known:
A money safe has a number of drawers.
Each drawer has as many dividers as there are drawers.
In each divider there are 4 times as many dollars as there are drawers.
Total money in safe - $5,324.
Want to know:
Number of drawers.
Let x = number of drawers.
Let d = number of dividers.
Let m = dollars.
Let s = sum.
x = d
4m = x
s = 5,324
How do I proceed from here ?
@Randy Dandy,
To proceed from the question you formulate an equation.
There are n drawers
Each of the n drawers has n dividers
Each of the n^2 dividers contains 4n dollars which in total = $5324
Derive and solve the cubic equation.
@knaivete,
4n^3 = 5324
4n^3 /4 = 5324 /4
n^3 = 1331
n = 11
I am not sure if that is correct.
@Randy Dandy,
There are some errors in what you've written that you should know about.
Randy Dandy wrote:
A money safe has a number of drawers. Each drawer has as many dividers as there are drawers. In each divider there are 4 times as many dollars as there are drawers.
Total amount of money in safe - $5,324.
Determine number of drawers.
What is known:
A money safe has a number of drawers.
Each drawer has as many dividers as there are drawers.
In each divider there are 4 times as many dollars as there are drawers.
Total money in safe - $5,324.
Want to know:
Number of drawers.
Let x = number of drawers.
Let d = number of dividers.
Let m = dollars.
Let s = sum.
x = d
4m = x This should say m = 4x, because m > x.
s = 5,324 This should be a product: d*m*s = 5324.
@Randy Dandy,
Randy Dandy wrote:
4n^3 = 5324
4n^3 /4 = 5324 /4
n^3 = 1331
n = 11
I am not sure if that is correct.
It's correct. When you get a whole number, that's usually a good sign.
@Randy Dandy,
Do you like my answer now Randy?
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