The quotient of a number and seven, increased by 6, is equal to 12

Answer 1

x/7 + 6 = 12

x/7 = 6

x = 6*7 = 42

Answer 2

Quotient refers to the result of dividing one quantity by another. This is similar to the term product with is the result of multiplying two quantities together. In this case, we are looking for a missing value "x".

The given prompt allows us to create an equation to solve for x. I will break it down here:

The quotient of a number and 7 - If the number we are looking for is x, then this means that we have x/7.

Increased by 6 - This tells us to increase the quotient by 6, so we now have x/7 + 6

Is equal to 12 - This allows us to add a value on the other side of the expression, so we have x/7 + 6 = 12

Now that we have a full expression, we can solve for x:

We subtract 6 from each side - This gives us x/7 = 6

Now we multiply each side by 7 - This gives us x = 42

The value of our mystery number is found to be 42. Let me know if you have any questions!