Jordan has 4/5 as many DVDs as Joseph. If Jordan has 56 DVDs, then how many does Joseph have?
If Jordan has 56 DVDs , that is Jordan 4 / 5 as many DVDs as Joseph.
4 / 5 = 0.8
56 = 4 / 5 Joseph´s DVDs = 0.8 Joseph´s DVDs
Joseph´s DVDs = 56 / 0.8 = 70
56 = (4/5)X.
X = 70.
To find out how many DVDs Joseph has, we first need to determine the ratio between Jordan's DVDs and Joseph's DVDs.
Given information:
Jordan has 4/5 as many DVDs as Joseph, and Jordan has 56 DVDs.
Let's represent the number of DVDs Joseph has as J.
Since Jordan has 4/5 as many DVDs as Joseph, we can set up the following equation:
4/5 * J = 56
To find J, we will solve this equation.
First, let's undo the multiplication by '4/5' by multiplying both sides of the equation by '5/4':
(5/4) * (4/5) * J = (5/4) * 56
Simplifying the equation:
J = (5/4) * 56
Now, let's compute the value of J:
J = 5 * 14
J = 70
Therefore, Joseph has 70 DVDs.