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For each question, write an algebraic equation and solve it. Write your answer in simplest form.
Jordan has
4
5
as many DVDs as Joseph. If Jordan has 56 DVDs, then how many does Joseph have?
so if Joseph has y discs, then
4/5 y = 56
y = 56 * 5/4 = 70
Guessing you meant:
Jordan has 4/5 as many DVDs as Joseph. If Jordan has 56 DVDs ...
(4/5)x = 56
x = 56(5/4) = 70
answer the full question
To solve this problem, we can set up an equation based on the information given.
Let's assume that Joseph has x number of DVDs.
According to the given information, Jordan has 45 more DVDs than Joseph.
So the equation would be:
Jordan's DVDs = Joseph's DVDs + 45
Since Jordan has 56 DVDs, we can substitute this value into the equation:
56 = x + 45
Next, we can solve for x by subtracting 45 from both sides of the equation:
56 - 45 = x + 45 - 45
11 = x
Therefore, Joseph has 11 DVDs.