Joel has twice as many CDs as Mariella has. Subtracting 7 from the number of CDs Joel has and dividing by 3 equals the number of CDs Blake has. If Blake has 25 CDs how many CDs does Mariella have?
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you working on it in the meantime? where did you get stuck? Just write math sentences that express the English sentences.
j = 2m
(j-7)/3 = b
b = 25
so,
j = 3b+7 = 82
m = j/2 = 41
To solve this problem step by step, let's assign variables to represent the number of CDs each person has.
Let's say Mariella has M CDs and Joel has J CDs.
According to the given information:
Joel has twice as many CDs as Mariella, so we can write the equation: J = 2M.
Subtracting 7 from the number of CDs Joel has and dividing by 3 gives us the number of CDs Blake has, so we can write the equation: (J - 7)/3 = 25.
Now we can solve the equations to find the values of M and J.
1. Plug in J = 2M into the second equation to eliminate the variable J:
(2M - 7)/3 = 25.
2. Multiply both sides of the equation by 3 to get rid of the fraction:
2M - 7 = 75.
3. Add 7 to both sides of the equation:
2M = 82.
4. Divide both sides of the equation by 2:
M = 41.
Now we know that Mariella has 41 CDs.