Pam is playing with red marbles. the number of red marbles she has is three more than twice the number of black marbles she has. she has 42 marbles in all. how many red marbles does pam have?

The numbers of red marbles does Pam have is 29 .

Step-by-step explanation:

Given as :

The total number of marbles including red marbles and black marbles does Pam has = 42

Let The number of red marbles which Pam has = R

And The number of black marbles which Pam has = B

So, The total number of marbles = The number of red marbles + The number of black marbles

I.e R + B = 42              .........1

According to question

The number of red marbles she has is three more than twice the number of black marbles she has .

I.e R = 3 + twice of B

Or , R = 3 + 2 × B              .........2

Now, solving Eq 1 and 2

Put The value of R from eq 2 into eq 1

So, ( 3 + 2 × B ) + B = 42

or, 3 + 2 B + B = 42

Or, 3 B = 42- 3

Or, 3 B = 39

∴  B =

I.e B = 13

Now, put the value of B in eq 2 , we get

R = 3 + 2 × B    

Or, R = 3 + 2 × 13

∴  R = 3 + 26

I.e R = 29

So, Number of black marbles does Pam have = B = 13

And Number of red marbles does Pam have = R = 29

Hence The numbers of red marbles does Pam have is 29 . Answer

2

step-by-step explanation:

1+1=2