Final answer:
To find the number of cookies of each type, use algebraic equations based on the given information. Solve the system of equations to find the values of x, y, and z, representing the number of oatmeal raisin, peanut butter, and chocolate chip cookies, respectively.
Step-by-step explanation:
To find the number of cookies of each type, let's denote the number of oatmeal raisin cookies as 'x', the number of peanut butter cookies as 'y', and the number of chocolate chip cookies as 'z'.
From the given information, we can set up the following equations:
x = 2y (the number of oatmeal raisin is twice the number of peanut butter)
z = x + 3 (the number of chocolate chip is 3 more than the number of oatmeal raisin)
We also know that the total number of cookies is 98, so we can write:
x + y + z = 98
Now, we can substitute the first two equations into the third equation:
2y + y + (2y + 3) = 98
5y + 3 = 98
5y = 95
y = 19
Substituting the value of y back into the first equation, we can find:
x = 2(19) = 38
Finally, substituting the values of x and y into the second equation, we can find:
z = 38 + 3 = 41
Therefore, there are 38 oatmeal raisin cookies, 19 peanut butter cookies, and 41 chocolate chip cookies.