Q:

What Divided by 48 Equals 75?

Accepted Solution

A:
What Divided by 48 Equals 75?MethodsSetting up the problem:In a problem like this, the “what” means that we’re working with a variable. The most common variable used in math is “x”. So, we could say what number, x, when divided by 48, equals 75?Solving What Divided by 48 Equals 75Here’s how you would set up this question as an equation:x48=75\frac{x}{48} = 7548x​=75The goal of the problem is to solve for x. To do this we need to change the equation so that x is alone on one side of the equation.In this case, we can do that by multiplying both sides of the equation by 48, resulting in this equation:x=75∗48x = 75*48x=75∗48Then we simplify and find our answer:x=3600x = 3600x=3600So, the answer to the question “What divided by 48 equals 75?” is 3600.To prove this, we can take the original problem:x48=75\frac{x}{48} = 7548x​=75And insert 3600 in the place of x:360048=75\frac{3600}{48} = 75483600​=75Because this is true, the answer must be correct.Practice Other Division Problems Like This OneIf this problem was a little difficult or you want to practice your skills on another one, give it a go on any one of these too!What divided by 91 equals 55?1 divided by what equals 71?What is 9/13 divided by 70?What is 2/18 divided by 14/20?What is 62 divided by 3/5?