What is an algebraic expression for the product of a number and 17? *
1 answer:
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Answer:
5 : 2
Step-by-step explanation:
Given that:
Number of gumdrops = 420
Number of chocolate bars = 280
Total Number of candies = 700
To find:
The ratio of candies to chocolate bars = ?
Solution:
First of all, let us discuss the method to find the ratio of any two quantities.
Suppose, we need to find the ratio of two numbers and
.
Then to find the ratio , we need to divide p by q and represent it in the simplest form
such that a and b can not be divided further.
Here, to find the ratio of candies to chocolate bar:
Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:
Now, let us divide the numerator and denominator by 14:
So, the ratio is <em>5 : 2</em>
Well, you could assign a letter to each piece of luggage like so...
A, B, C, D, E, F, G
What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.
My answer and workings are below...
35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.
210 arrangements (35 x 6) when order is taken into consideration.
*There are 6 ways to configure 3 letters.
Alternative way to solve the problem...
Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.
A, B, C, D, E, F, G
What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.
My answer and workings are below...
35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.
210 arrangements (35 x 6) when order is taken into consideration.
*There are 6 ways to configure 3 letters.
Alternative way to solve the problem...
Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.