Two more than the quotient of a number and 7 is 5
To solve this problem, we will need to translate the given statement into an equation and then solve for the unknown number.
Let's assign a variable to represent the unknown number. Let's call it "x."
The given statement says, "Two more than the quotient of a number and 7 is 5."
The first part of the statement, "the quotient of a number and 7," can be represented as x/7.
The next part says "Two more than the quotient of a number and 7." This can be translated to (x/7) + 2.
Finally, the statement says this expression is equal to 5. So we can write the equation as:
(x/7) + 2 = 5
To solve for x, we need to isolate it on one side of the equation. Let's do the steps one by one:
1. Subtract 2 from both sides of the equation:
(x/7) + 2 - 2 = 5 - 2
(x/7) = 3
2. Multiply both sides of the equation by 7 to eliminate the fraction:
7 * (x/7) = 3 * 7
x = 21
Therefore, the unknown number is 21.