Help With Question Lost Here Completely

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runn0010

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Warm Shelters.org received a donation of $32,000 to buy beds and dressers for its new dormitories. Each bed will cost $320.00 and each dresser will be $75.00 each.
Compute the number of beds that can be bought knowing that a total of 132 pieces of beds and dressers are needed. Round off to the nearest one.
 
lev888 said:
2 variables, 2 equations.
Click to expand...
Just wondering how I write that when I start, Im thinking 32000/350(x)+75(y)=132 I don't know how I would write that into two, I am fairly new at this trying to study for a test for online math course..
 
Let x be the number of beds, and y be the number of dressers.
Then
x + y = ???
and
x*??? + y*??? = ???

Then solve simultaneously.
 
First state what your variables mean. Then we can proceed from there.
 
I don’t even know how to set up equation I try
X320$ Beds
Y75 $Dressers

I have 32000$ and need 132 pieces combined.

So I try X320+Y75=132

Just wondering where I put 32000 and how I would do two equations?

But that’s what I have so far
 
Warm Shelters.org received a donation of $32,000 to buy beds and dressers for its new dormitories. Each bed will cost $320.00 and each dresser will be $75.00 each.
Compute the number of beds that can be bought knowing that a total of 132 pieces of beds and dressers are needed. Round off to the nearest one.

Now Im at 3200/132= x320+y75 I guess solve for x first then Solve for Y
 
runn0010 said:
I don’t even know how to set up equation I try
X320$ Beds
Y75 $Dressers
I have 32000$ and need 132 pieces combined.
So I try X320+Y75=132
Just wondering where I put 32000 and how I would do two equations?
But that’s what I have so far
Click to expand...

How to set up equations - look at the values and relationships between them.
We have numbers of items - first equation. We have prices - second equation.
If x and y are the numbers of items and the total count is 132, how do we express this relationship in an equation?
If the total cost is $32000, can we express it in terms of prices and numbers of items?
 
runn0010 said:
Warm Shelters.org received a donation of $32,000 to buy beds and dressers for its new dormitories. Each bed will cost $320.00 and each dresser will be $75.00 each.
Compute the number of beds that can be bought knowing that a total of 132 pieces of beds and dressers are needed. Round off to the nearest one.
Click to expand...
Let "x" be the number of beds and "y" the number of dressers. Each bed cost 320 so x beds cost 320x dollars. Each dresser cost 75 so y dressers cost 75y dollars. We must have 320x+ 75y= 32000.

"132 pieces of beds and dressers are needed." So x+ y= 132.

Solve the two equations, 320x+ 75y= 32000 and x+ y= 132.
 
There is no integer solution to your problem.
Are you sure you posted it correctly?
 
yes teacher says hallsofivys approach in the post above is the correct approach to the problem. I haven't tried yet still at work.
 
Denis said:
There is no integer solution to your problem.
Are you sure you posted it correctly?
Click to expand...
The op tells you to round the answer.

Too bad the benefactor didn't donate an additional $175, as the increased amount would furnish 45 rooms with 2 beds and a dresser each (i.e., 135 pieces of furniture).

?
 
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