## Sunday, November 25, 2007

### Robby's Scribepost

The steps I would take....

STEP 1:
Write down the information:

For a 2 2/5 cup container, there are:
-1 1/5 cups of Spicy Shreddies
-4/5 of a cup of Peanuts
-2/5 of a cup of Pretzels

She wants to sell a 12 cup container and a 1/2 cup container
using this information to scale.

STEP 2:
Make a table using Cups and Price to find a rule.

THE RULE:
x10 and ÷2

STEP 3:

Use the rule we found in Step 2 for the decimal form of the quantity of Peanuts, Pretzels, and spicy Shreddies in cups to make it to scale:

1 1/5 (Spicy Shreddies) = 1.2
4/5 (Peanuts) = 0.8
2/5 (Pretzels) = 0.4
------
2.4 (2 2/5)

Now multiply all the decimals by 10 and divide by 2 to get the amount needed for 12 cups.

1.2 x 10 = 12

12 ÷ 2 = 6
cups of Spicy Shreddies for a 12 cup container

-----------------
0.8 x 10 = 8

8 ÷ 2 =4 cups of Peanuts for a 12 cup container

----------------
0.4 x 10 = 4

4 ÷ 2 = 2 cups of Pretzels for a 12 cup container

For a 12 cup container, there will be:
-6 cups of Spicy Shreddies
-4 cups of Peanuts
-2 cups of Pretzels
And the price will be \$18.00 (as shown on table above).

The good way to get 1/2 cup is to redo the strategy above, finding rules and such. But another way you could do it is to use the information given on 12 cups, and divide it by 12 then 2 [(12 ÷ 12 = 1 ÷ 2 = 0.5 (1/2)].

So:

-6 cups ÷ 12 = 0.5 (6 goes into 12 2 times, so 12 goes into 6 0.5 times, or 6 is half of 12) - 0.5 ÷ 2 = 0.25 cups (1/4) of Spicy Shreddies ------
0.5
-4 cups ÷ 12 = 0.3 (4 goes into 12 3 times (1/3), so 12 goes into 4 0.3 times, or 12 is 3.3 repeater (1/3 as a decimal) times bigger than 4)
-0.3 ÷ 2 = 0.175 cups of Peanuts
-------
0.5

-2 cups ÷ 12 = 0.16 (2 goes into 12 6 times (2 / 12 = 1/6), 6 ÷ 100 is 0.16. So 1/6 (2/12) = 0.16 as a decimal)
-0.16 ÷ 2 = 0.08 cups of Pretzels
-------
0.5

Now the Price:
\$1.50
----------
\$18.00 ÷ 12 = 12 | \$18.00

12.00

---------
6 (0)
60
------------
0

SO:
For a 1/2 cup container, there are:
-0.25 /0.5 cups of Spicy Shreddies
-0.175 / 0.5 cups of Peanuts
-0.08 / 5 cups of Pretzels

And the price is \$1.50

P.S.
Sorry for the Late Scribe, heh my bad.
Oh and Long division with computers SUCKS. Stick with the simple equations to those of you who will copy this idea.

#### 1 comment:

Mr. H said...

Good Job Robbie. Are there other ways to solve this without using long division. There has to be a way that might be easier?

Great use of colour to show the different ideas.

H