I need serious help. Tried to work it out but I just couldn't get the correct answer.
Benjamin and olivia are putting a new floor in their kitchen. To get the floor up to the desired height, they need to add 1 /8ft to subfloor. They can do this in one of two ways. They can put 1/2in sheet on top of 5/8in board (note that the total would be 9/8ft or 1 /8ft). They could also put 3/8in board on top of 3/4in sheet.
here is a table that gives the price for each sheet of plywood
1/8in $9.15
1/4in $13.05
3/8in $14.99
1/2in $17.88
5/8in $19.13
3/4in $21.36
7/8in $25.23
1in $28.49
1. what is the combined price for a 1/2in sheet and a 5/8 sheet?
2. what is the combined price for a 3/8in sheet and 3/4in sheet?
3. what other combination of sheets of ply wood yields the need 1 1/8in thickness?
4. of the four combinations, which is most economical?
5. the kitchen is to be 12ftx12ft. Find the total cost of the plywood you have suggested in qusetion 4
1. $17.88 + $19.14 = ?
2. $14.99 + $21.36 = ?
3. 1 inch + 1/8 inch
and 7/8 inch + 1/4 inch
This gets you started. If you post your answers, we'll be glad to check them.
I am trying to reverse engineer your statement.
Do you really mean you need to raise the floor 1 1/8 INCH?
I will have to assume that is what you mean because you said that 1/2 inch + 5/8 inch = 9/8 inch was right
now
1. surely you can add 17.88 and 19.13 = 37.01
2. I am also sure you can add 14.99 and 21.36 = 36.35
3. What else here adds to 9/8?
we could use 1/8+1 (9.15+28.49=37.64)
we could use 7/8+1/4 (25.23+13.05=38.28)
Of course we could use more than two sheets, but the wording of the question implies do not consider the next two:
we could use 9 of 1/8 (9*9.15=82.35)
we could use 3 of 3/8 (3*14.99=44.97)
4. Now the minimum here was 36.35 for a sheet of 3/8 + a sheet of 3/4
5. 12*12 = 144 ft^2
a sheet of plywood is 4*8 = 32 ft^2
so we need 4.5 of these.
If we could get this by the half sheet, the price would be
36.35*4.5 = 163.58 which would be fine for a mathematician but not for a lumber yard which is likely to insist that you buy full sheets, in other words five of each size:
36.35*5 = 181.75
1 1/15+3 3/10-2 4/5=
To answer these questions, we need to calculate the combined prices for different combinations of plywoods and then compare them.
1. To find the combined price for a 1/2in sheet and a 5/8in sheet, we add the prices of the individual sheets. The price for a 1/2in sheet is $17.88, and the price for a 5/8in sheet is $19.13. Adding these values gives us a combined price of $17.88 + $19.13 = $36.01.
2. To find the combined price for a 3/8in sheet and a 3/4in sheet, we add their respective prices. The price for a 3/8in sheet is $14.99, and the price for a 3/4in sheet is $21.36. Adding these values gives us a combined price of $14.99 + $21.36 = $36.35.
3. To find other combinations of sheets that yield a thickness of 1 1/8in, we can look for pairs of sheets that add up to that thickness. One such combination is a 1/2in sheet ($17.88) and a 5/8in sheet ($19.13) as mentioned earlier. Another combination could be a 1/8in sheet ($9.15) and a 1in sheet ($28.49), which add up to 1 1/8in. There may be other combinations, but these are a couple of possibilities.
4. To determine which combination is the most economical, we compare the prices of the different combinations. The combination of a 1/2in sheet and a 5/8in sheet has a combined price of $36.01, while the combination of a 3/8in sheet and a 3/4in sheet has a combined price of $36.35. Since the price for the first combination is slightly lower, it is the most economical.
5. To find the total cost of the plywood suggested in question 4, we need to know the number of sheets required for a 12ft x 12ft kitchen. However, it is not mentioned in the question. Once the number of sheets required is known, we can multiply it by the combined price of the most economical combination obtained in question 4 to get the total cost.
Please provide the number of sheets required, and we can calculate the total cost accordingly.