Q:

What Divided by 19 Equals 31?

Accepted Solution

A:
What Divided by 19 Equals 31?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 19, equals 31?Solving What Divided by 19 Equals 31Here’s how you would set up this question as an equation:x19=31\frac{x}{19} = 3119x​=31The 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 19, resulting in this equation:x=31∗19x = 31*19x=31∗19Then we simplify and find our answer:x=589x = 589x=589So, the answer to the question “What divided by 19 equals 31?” is 589.To prove this, we can take the original problem:x19=31\frac{x}{19} = 3119x​=31And insert 589 in the place of x:58919=31\frac{589}{19} = 3119589​=31Because 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 92 equals 45?43 divided by what equals 46?What is 11/10 divided by 16?What is 1/13 divided by 17/12?What is 81 divided by 18/15?