Answer:
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