Ratios and proportions?

Question

Can anyone describe a simple process for using rates and unit prices that might help keeps me from having difficult time understanding the concepts. Can you include an example to explain the solution process.

Answer 1

Ratio can be found in many common uses in everyday life.

A cooking recipe uses ratios. As simple as making Kool Aid.

One packet of Kool Aid Powder to , what? A quart of water?

One tablespoon of sugar, a teaspoon of salt, etc, to a given amount of flour.
These are ratios. However, they are spelled out in measurements. If one had to use percentages of "total weight" or total volumne of a liquid measure, it would be necessary to determine the "weight of each item," such as salt or sugar, flour, etc.

Then the weight of each ingredient, in ounces, would be divided by the "total weight of all ingredients", in ounces. One cannot divide ounces by a pound or by a quart.

For example, 1 ounce of sugar to 1 pound, (16 ounces), of flour.

In order to determine the percantage of sugar, "To the total weight of the mixture", one wouild not, divide 1 ounce by 16 ounces.
To do that would give one the percentage of sugar as a part of the flour. Not very useful.
One should add 16 ounces plus 1 ounce, = 17 ounces of total mixture.

Now one can determine the question,
"What percenatage of the total mixture is sugar and what percentage is flour?

We have a total of 17 ounces.
Sugar is 1 ounce.
Flour is 16 ounces.

I ounce divided by 17 ouinces =???
16 ounces divided by 17 ounces =???

I bet you can do the division. 1/17. 16/17. This can be done for many ingredients. Remeber that all the ingredients must be totaled in order to get the finished weight, or volumne of liquid.

Another. If one has 8 nickels and 6 dimes, wants to know what percentage of a dollar is in nickels and what percentage is in dimes.
One must add the total pennies in 8 nickels and the pennies in 6 dimes. This is simple, .40 cents and 60 cents. Now one can divide each by 100 pennies, ($1.00), and arrive at the percentage of nickels and the percentage of dimes.

Rates and unit prices, can be several things.

If you bought groceries and Coffee is $1.00 per pound, and you purchased 5 pounds, what do you do? 5 X $1.00, you knew that.

Now, if a freight rate for shipping is $40.00 per hundred pounds of freight, and the total shipment is 1,000 pounds, one can figure that the total freight charges are What?

How many "hundreds" in pounds, are there in 1,000 pounds?

Divide 100 into 1,000, and what does one get? 10, right?

So, if the freight rate is $40.00 per "hundred pounds", one knows now that there are "10" one hundreds, of pounds. Right?
Now, by multiplying $40.00 X 10, one knows that the total freight charge is $400.00.

The reason that freight is is quoted by a hundred pounds, is that in many cases, less than 100 pounds, such as, 50 pounds, will still be charged for 100 pounds. It isn't always charged by the exact pound.
One more calculation can be made.

In the 1,000 pound shipment, there may be 10 tables. Excluding the packing weight for now, suppose those tables weighed, 100 pounds each.
One has to know how much the freight cost is for each table, so the it can be added to the unit cost of each table, and with the required markup, it is recovered in the retail price.

We know that the total freight is $400.00.
We have 10 tables.
You know what to do.

If any of this is still unclear, or you need a bit more help, feel free to contact me. I'm old, I'm harmless. LOL

Answer 2

how you divide something,the rule,is known as ratio
example if you give three toffees to girls for every two toffees to boys then the ratio of toffees to boys and girls will be 2:3=>the ratio of toffees to girls and boys will be 3:2
if you convert a ratio to fraction and find an equivalent fraction then you have a proportion
2:3=2/3=4/6=:4:6 therefore 2:3 and 4:6 are in proportion
now if the no of items increases the money spent will increase and so they will form a ratio
10 apples cost $5 then 20 apples will cost $10 because if you buy twice the no of apples you pay twice the no of dollars.
when two quantities are divided using a rule and when one increases the other also increases they are said to be in direct ratio.
if on increasing one the other decreases they are said to be in inverse ratio.e.g. speed and time taken.you increase the speed and time taken to reach your destination decreases.

Answer 3

More detail please.