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:
![Ratio = \dfrac{\text{Number of candies}}{\text{Number of chocolate bars}}\\\Rightarrow \dfrac{700}{280}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cdfrac%7B%5Ctext%7BNumber%20of%20candies%7D%7D%7B%5Ctext%7BNumber%20of%20chocolate%20bars%7D%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B700%7D%7B280%7D)
Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:
![\dfrac{70}{28}](https://tex.z-dn.net/?f=%5Cdfrac%7B70%7D%7B28%7D)
Now, let us divide the numerator and denominator by 14:
![\dfrac{5}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B2%7D)
So, the ratio is <em>5 : 2</em>