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January 25, 2015

January 25, 2015

Posted by **Kim** on Friday, February 15, 2008 at 5:58pm.

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

- Math -
**Ms. Sue**, Friday, February 15, 2008 at 6:27pm1. $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.

- Math -
**Damon**, Friday, February 15, 2008 at 6:43pmI 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

- Math -
**Anonymous**, Monday, September 14, 2009 at 12:56am1 1/15+3 3/10-2 4/5=

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