Answered

I purchased the red and green m&ms for the holidays there were 1800 m&ms in the bag surprisingly the ratio of red m&ms to green m&ms was 4:5 how many less red m&ms were there in the bag



Answer :

SOLUTION

Step 1 :

We need to recognize that the probability of Red M & M and Green M&M is given as:

[tex]\frac{P\text{ ( Red M \& M )}}{P\text{ ( Gr}een\text{ M \&M ) }}\text{ = }\frac{4}{5}[/tex]

Step 2:

We need to get a constant proportion, x , such that :

4 x + 5 x = 1800

Simplifying further gives,

9 x = 1800

Divide both sides by 9, we have that :

x = 200

Step 3:

We need to calculate the number Red M & M and Green M&M in the bag,

Red M & M = 4 x = 4 x 200 = 800

Green M & M = 5 x = 5 x 200 = 1000

Step 4 :

We need to get how many less Red M & M in the bag:

( Number of Green M & M ) - ( Number of Red M & M )

= 1000 - 800

= 200

CONCLUSION: There are 200 less Red M & M in the bag.

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