How do you find the answer for this:
Pam is playing with red and black 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?
a. 13
b. 15
c. 29
d. 33
Let R = # red marbles
and B = # black marbles.
===========================
R + B = 42
R = 3B + 3
Solve the two equations.
I have 13 for B and 29 for R but check me out. Check my work. Check my thinking.
thanks
To find the number of red marbles Pam has, we can set up an equation based on the given information.
Let's assume the number of black marbles Pam has is "x".
According to the problem, the number of red marbles she has is three more than twice the number of black marbles. So, the number of red marbles is 2x + 3.
We also know that Pam has a total of 42 marbles, so the sum of the red and black marbles is equal to 42.
Therefore, we can write the equation as:
2x + 3 + x = 42
Combining like terms, we get:
3x + 3 = 42
Subtracting 3 from both sides, we get:
3x = 39
Dividing both sides by 3, we get:
x = 13
So, Pam has 13 black marbles.
To find the number of red marbles, we substitute the value of x into the equation 2x + 3:
2(13) + 3 = 26 + 3 = 29
Therefore, the answer is 29 red marbles.
The correct option is c. 29
To find the number of red marbles that Pam has, we need to set up an equation based on the given information.
Let's assume the number of black marbles is represented by 'x'. Since the number of red marbles she has is three more than twice the number of black marbles, we can write it as: 2x + 3.
The total number of marbles she has is given as 42. So, we can set up the equation:
2x + 3 + x = 42
Now, we can solve this equation to find the value of 'x', which represents the number of black marbles.