Joel has twice as many CDs as Mariella has. subtracting seven from the number of CDs Joel has an dividing by three equals the number of CDs Blake has. If Blake has 25 CDs how many CDs does mariella have?
see the first related question below
It’s 7 cds
To find out how many CDs Mariella has, we can follow a step-by-step process:
Step 1: Let's start by assigning variables to the unknown quantities in the problem:
Let M be the number of CDs Mariella has.
Let J be the number of CDs Joel has.
Step 2: Based on the information given, we can form equations:
The problem states that "Joel has twice as many CDs as Mariella." This can be represented as J = 2M.
We are also told that "subtracting seven from the number of CDs Joel has and dividing by three equals the number of CDs Blake has." This can be represented as (J - 7) / 3 = 25.
Step 3: Now we can solve the system of equations:
Substituting J = 2M from the first equation into the second equation, we get ((2M) - 7) / 3 = 25.
Multiplying both sides of the equation by 3 to clear the fraction, we have:
2M - 7 = 75.
Adding 7 to both sides of the equation, we get:
2M = 82.
Dividing both sides by 2, we find:
M = 41.
Therefore, Mariella has 41 CDs.