Question

At the candy store there are 420 gumdrops and 280 chocolate bars, for a total of 700 candies all together. What is the ratio of candies to chocolate bars? (

Answer 1

5 : 2

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
`p` and
`q`.

Then to find the ratio
`p:q` , we need to divide p by q and represent it in the simplest form
`(a)/(b)` such that a and b can not be divided further.

Here, to find the ratio of candies to chocolate bar:

`Ratio = \frac{\text{Number of candies}}{\text{Number of chocolate bars}}\\\Rightarrow (700)/(280)`

Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:

`(70)/(28)`

Now, let us divide the numerator and denominator by 14:

`(5)/(2)`

So, the ratio is 5 : 2