Math Question

[tonykangus]

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Anbody Knows the answer?

A roof is 45 feet wide and 35 feet long. Each shingle covers an area that is 16 inches wide and 8 inches long. Each 5 gallon pail of tar covers 102 square feet of roof. how many shingles and fails of tar should you purchase to roof the house?

 

[TucsonDDS]

Remember, always buy more than you think you will need and just return the rest. Easier than getting half way done with a roof and have to go back to Home Depot.

 

[TucsonDDS]

OK in all seriousness,

The # of jugs of tar is easy 45 * 35 / 102 = 15.4 So you would buy 16
The # of shingles is a little trickier depending on how you turn the shingles.
Either 45 * 2/3 (for the 8 inch) = 30 shingles
35 * 1 1/3 (for the 16") = 47 shingles (multiply the 2)
---------------
1410 Shingles

Or 45 * 1 1/3 (for the 16") = 60 shingles
35 * 2/3 (for the 8 inch) = 24 shingles (multiply the 2)
--------------------
1440 shingles

So the least number of shingles that you could use with the least amount of waste would be 1410. But like I said befor. You would be better off buying 1500 because you are bound to f**k up a few cuts.

 

[tonykangus]

thank you for your help, but the answer of the shingle is not correct answer.
Can you think again?

 

[TucsonDDS]

OK, lets try this again, I don't know what I was thinking.

45 / 1.33 = 34
35/ .66 = 53
------------------
Total of 1802 shingles

or


45/ .66 = 69
35/ 1.33 = 27
------------------
Total of 1863 shingles


So does 1802 shingles sound better. I don't know what I was thinking before.

 

[g3k]

OK, lets try this again, I don't know what I was thinking.

45 / 1.33 = 34
35/ .66 = 53
------------------
Total of 1802 shingles

or


45/ .66 = 69
35/ 1.33 = 27
------------------
Total of 1863 shingles


So does 1802 shingles sound better. I don't know what I was thinking before.

Can you explain please ? Y cant the answer be just 12.306..?

 

[TucsonDDS]

I still don't know if this is the right answer or not. Where do you get 12.306?

 

[luder98]

Anbody Knows the answer?

A roof is 45 feet wide and 35 feet long. Each shingle covers an area that is 16 inches wide and 8 inches long. Each 5 gallon pail of tar covers 102 square feet of roof. how many shingles and fails of tar should you purchase to roof the house?

You need to cover an area of 45FTx35FT, that is 1575 FT^2

# of shingles: 1575*12*12/16/8 = 1771.8 = 1772

# of pails: 1575/102 = 15.4 = 16

Like the 1st person mentioned, for this type of problem, always round up.

Are these correct?

 

[g3k]

I still don't know if this is the right answer or not. Where do you get 12.306?

I am sorry... the answer I got s 1772 ... 😳

 

[tonykangus]

Thank you for helping me.
I'm sorry that I don't understand whcih is how did you get 12*12 from the #of shingle =1575*12*12/16/8

 

[g3k]

Thank you for helping me.
I'm sorry that I don't understand whcih is how did you get 12*12 from the #of shingle =1575*12*12/16/8

8 inches = 8/ 12 feet
16 inches = 16/12 feet

so area of one shingle = 8 * 16 / 12* 12 = 8/9

so no. of shingles = 1575 *9 / 8 = 1772

 

[tonykangus]

Thank you so much your help!!!!!!!!

 

[TucsonDDS]

I agree that 1772 shingles will give you the correct amount of square feet but will you be able to arange those shingles correctly. It is like a square with an area of 10 square feet won't necissarily be able to cover a rectangle or a circle with 10 square feet unless you cut it up and match the pieces together in the right shape. I would assume that the question wouldn't allow you to cut 2 inches off of one side of the shingle and add it to the other side. I know I would be very unhappy with a roof hobbled together like that. So is the answer to the problem actually 1772??

 

[tonykangus]

How do you solve this problem? thank you

A software manufacture can complete a 5,000 piece order in 4days, while a different software manufacture can compelete the same order in 5 days. How many days will take to complete your order if you use both software manufactures at the same time?

 

[luder98]

How do you solve this problem? thank you

A software manufacture can complete a 5,000 piece order in 4days, while a different software manufacture can compelete the same order in 5 days. How many days will take to complete your order if you use both software manufactures at the same time?

This is typical problem. First 5000 is there to trick you. It's useless information. To solve the problem:

1/T = 1/4 + 1/5 = 9/20

or T = 20/9 = 2 2/9 days

 

[TucsonDDS]

I know there is a formula for this but I have always been better off just figuring it out. Manufaturer 1 can do 1250/day (5000/4) and manufacturer 2 can do 1000/day (5000/5) so total you can get 2250/day if both are working together. Then 5000/2250 is equal to 2.222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222 days. Give or take a 2

 

[tonykangus]

Thank you so much you guys!!!!!!!
Did you guys already took DAT?

 

[TucsonDDS]

I took mine on 10/22. Unfortunately I feel like I don't have anything to do anymore, no more studying. Good luck with your studies.

 

[luder98]

I agree that 1772 shingles will give you the correct amount of square feet but will you be able to arange those shingles correctly. It is like a square with an area of 10 square feet won't necissarily be able to cover a rectangle or a circle with 10 square feet unless you cut it up and match the pieces together in the right shape. I would assume that the question wouldn't allow you to cut 2 inches off of one side of the shingle and add it to the other side. I know I would be very unhappy with a roof hobbled together like that. So is the answer to the problem actually 1772??

Of course you are allowed to cut them. Have you seen people roofing or doing tiles? It's common sense.

If you expect to have a perfect fit, your solution doesn't offer that anyway. You will cover more than just the roof. Even with the smaller number, 1802, you will cover ~1601 FT^2 area.

 

[TucsonDDS]

Of course you are allowed to cut them. Have you seen people roofing or doing tiles? It's common sense.

If you expect to have a perfect fit, your solution doesn't offer that anyway. You will cover more than just the roof. Even with the smaller number, 1802, you will cover ~1601 FT^2 area.

I realize you are allowed to cut them but are you going to use a bunch of the 8 inch long pieces of scrap to finish up the side of the edge that is using the 16 inch side of the shingles. Now I am sure that my grandpa would but would you really want your house shingled like that?? This is why my house has a tiled roof. I think it is a ****ty question, what roofer in their right mind would want to pick up every little piece of scrap and try to make it fit.

 

[TucsonDDS]

Of course you are allowed to cut them. Have you seen people roofing or doing tiles? It's common sense.

If you expect to have a perfect fit, your solution doesn't offer that anyway. You will cover more than just the roof. Even with the smaller number, 1802, you will cover ~1601 FT^2 area.

Yes I have seen people roofing and laying tile and believe me there is no way that a roofer will dig through a scap pile to use 2 2.72 inch wide (what will be left over after triming if you lay the 16 inch side along the 45 foot length of the roof) peices of scrap along with another cut, to make up the 4 inches that are need to complete the other side. Now this is common sense. I do agree that with time and determination and a ****ty roof that 1772 shingles will cover it.

 

[luder98]

Hope you can get some sleep 😀 Good night 😴

 

[TucsonDDS]

Probably not, I worked last night, slept all day and then I got called off tonight. I hate it when that happens. Sorry if I sound like I got a little to worked up, sometimes I read into questions a little too much.
Later