Jordan has 4/5 as many DVDs as Joseph. If Jordan has 56 DVDs, then how many does Joseph have?
Please help my brain is mush
4/5 x = 56
x = 70
Let's break down the information given:
1. Jordan has 4/5 as many DVDs as Joseph.
2. Jordan has 56 DVDs.
To find out how many DVDs Joseph has, we need to determine what fraction of Jordan's DVDs represents the number of DVDs Joseph has.
Step 1: Determine the fraction of Jordan's DVDs.
If Jordan has 56 DVDs, and this represents 4/5 of Joseph's DVDs, we can set up the equation:
56 = (4/5) * Joseph's DVDs
To solve for Joseph's DVDs, we need to isolate it on one side of the equation.
Step 2: Isolate the Joseph's DVDs variable.
To get rid of the fraction (4/5), we can multiply both sides of the equation by its reciprocal (5/4).
56 * (5/4) = (4/5) * (5/4) * Joseph's DVDs
Step 3: Simplify the equation.
56 * (5/4) equals 280/4, which simplifies to 70.
70 = Joseph's DVDs
Therefore, Joseph has 70 DVDs.
No worries, I'm here to help! To solve this problem, we'll use the information given and set up an equation to find the number of DVDs Joseph has.
Let's start with the information we have: Jordan has 4/5 as many DVDs as Joseph, and we know that Jordan has 56 DVDs.
So, let's assign a variable to Joseph's number of DVDs. Let's say Joseph has 'x' DVDs.
Using the information given, we can set up an equation:
Jordan's DVDs = 4/5 * Joseph's DVDs
56 = (4/5) * x
To solve for x, we need to isolate the variable on one side of the equation.
To do that, we'll multiply both sides of the equation by 5/4, the reciprocal of 4/5:
(5/4) * 56 = (5/4) * (4/5) * x
Simplifying the equation:
70 = x
So, Joseph has 70 DVDs.
To summarize the steps:
1. Assign the variable: let x represent Joseph's number of DVDs.
2. Set up the equation: 56 = (4/5) * x
3. Multiply both sides of the equation by the reciprocal of 4/5 (which is 5/4).
4. Simplify the equation: 70 = x.
Therefore, Joseph has 70 DVDs.