For each question, write an equation and solve it. Write your answer in simplest form.
Jordan has four-fifths as many DVDs as Joseph. If Jordan has 56 DVDs, then how many does Joseph have?
Let's call the number of DVDs Joseph has "x", then using the information given in the problem, we can set up the equation:
56 = (4/5)x
To solve for x, we can begin by multiplying both sides by the reciprocal of 4/5, which is 5/4:
56 * (5/4) = x
This simplifies to:
70 = x
Therefore, Joseph has 70 DVDs.