Jordan has 4/5 as many DVDs as Joseph. If Jordan has 56 DVDs, then how many does Joseph have?
Please help! Also it needs to be explained!
Joseph has 70 DVDs.
Explanation: To find out how many DVDs Joseph has, we need to use the ratio 4/5. This means that for every 4 DVDs Jordan has, Joseph has 5 DVDs. Since Jordan has 56 DVDs, we can multiply 56 by 5/4 to find out how many DVDs Joseph has. 56 x 5/4 = 70. Therefore, Joseph has 70 DVDs.
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To find out how many DVDs Joseph has, we can use the information given in the question. It states that Jordan has 4/5 as many DVDs as Joseph.
Let's break it down step by step:
1. We know that Jordan has 56 DVDs.
2. We also know that Jordan's number of DVDs is 4/5 of Joseph's number of DVDs.
To solve this, we can set up a proportion:
Jordan's DVDs / Joseph's DVDs = 4/5
Let's plug in the numbers we have:
56 / Joseph's DVDs = 4/5
To solve for Joseph's DVDs, we need to isolate the variable. We can cross-multiply:
56 * 5 = Joseph's DVDs * 4
280 = Joseph's DVDs * 4
Now, divide both sides of the equation by 4 to solve for Joseph's DVDs:
Joseph's DVDs = 280 / 4
Joseph's DVDs = 70
Therefore, Joseph has 70 DVDs.
Explanation:
To solve this problem, we used the given proportion to relate Jordan's DVDs to Joseph's DVDs. By cross-multiplying and then simplifying the equation, we were able to find the number of DVDs Joseph has.