A bag contains 16 red marbles, 7 yellow marbles, and 19 green marbles. how many additional red marbles must be added to the 42 marbles already in the bag so that the probability of randomly drawing a red marble is 3/5

The number of red marble to be added in box is .

Step-by-step explanation:

Given that,

Number of red marbles  =

Number of yellow marbles =  

Number of green marbles =

Total number of marbles in the bag =

So,

Let the number of red marbles to be added in bag is .

Then Required probability of random drawing a red marble is .

Here,  New number of red marbles is

And total number of marbles be

∴                

⇒                            

Cross- multiplying we get,

⇒                          

⇒                            

⇒                                    

⇒                                    

thus , the new number of marble to be added in bag is

And total number of marble in bag become .

Hence, The number of red marble to be added in box is .

c) yes, because of asa or aas

47 - 90 = 43

43 - 180 = x

x = 137