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In Mathematics / Middle School | 2014-03-20

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?

Asked by erica89030

Answer (3)

We can write each of the statements as an equation

Joel j has twice the number of CDs as Mariella m, hence

j=2m

Joel's number of CD's - 7 divided by 3 equals the number of CDs Blake b has:

28j-729 2F3=b

Blake has 25 CDs

b=25
Substituting (3) into (2) gives:
%28j-7%29%2F3=25
j-7=3x25

j-7=75
j=75%2B7
j=82
So Joel has got 82 CD's
Based on equation (1) we can calculate the number of CD's Mariella has:
82=2m
m=82%2F2
m=41
Mariella has 41 CDs
Joel has 82 CDs
Blake has 25 CDs
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Answered by sadlife21 | 2024-06-12

j = number of cd's joel has m = number of cd's mariella has b = number of cd's blake has
from problem statement, develop equations: j = 2m b = (j - 7)/3 = 25 m = ?
solve for m
b = 25 = (j - 7)/3 25 = (j - 7)/3 25*3 = j - 7 75 + 7 = j j = 82
j = 2m = 82 m = 82/2 m = 41
thus mariella has 41 cd's joel has 82 cd's blake has 25 cd's

Answered by Anonymous | 2024-06-24

Mariella has 41 CDs. Joel has 82 CDs while Blake has 25 CDs. Using the given relationships, we set up equations to find the amounts each person has.
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Answered by Anonymous | 2024-10-02