Chip and Arlene have 60 shares of stock between the two of them. If you double the number arlene has and halve the number chip has, then they ahve the same number of shares. How many shares does charlene have?
no, not 30
look at bob's last equation of
2A = C/2
then C = 4A, sub that into
A+C = 60
A + 4A = 60
5A = 60
A = 12
C = 48
A+C=60
2A=C/2
Who is charlene? Is Charlene Chip?
Arlene* sorry about that
is the answer 30?
To solve this problem, we can set up two equations based on the given information:
Let's say Chip has x shares and Arlene has y shares.
1. From the statement "Chip and Arlene have 60 shares of stock between the two of them," we can write:
x + y = 60 -- Equation 1
2. From the statement "If you double the number Arlene has and halve the number Chip has, then they have the same number of shares," we can write:
2y = (1/2)x -- Equation 2
Now, we can solve this system of equations to find the values of x and y.
First, let's rearrange Equation 2 to isolate x:
x = 4y -- Equation 3
Substituting Equation 3 into Equation 1, we have:
4y + y = 60
5y = 60
y = 12
Now, substitute the value of y back into Equation 3 to find x:
x = 4(12) = 48
Therefore, Chip has 48 shares, and Arlene has 12 shares.
Since the question asks for the number of shares Charlene has, and we know that Charlene is not mentioned in the problem, we cannot determine the number of shares Charlene has based on the given information.