translate 16 less than the quotient of a number and 7 equals 3
(x/7) - 16 = 3
To translate the sentence "16 less than the quotient of a number and 7 equals 3" into an equation, we can follow these steps:
1. Let's first define the unknown number as "x".
2. The quotient of a number and 7 can be expressed as "x/7".
3. 16 less than the quotient of the number and 7 is "(x/7) - 16".
4. The equation becomes: "(x/7) - 16 = 3".
So, the translated equation is "(x/7) - 16 = 3".
To solve this problem, we need to break it down into smaller steps:
Step 1: Let's represent the number using a variable. Let's say the number is "x".
Step 2: The quotient of a number and 7 can be written as "x/7".
Step 3: "16 less than the quotient of a number and 7" can be written as "(x/7) - 16".
Step 4: According to the problem, this expression equals 3. So we have the equation:
(x/7) - 16 = 3.
Step 5: To solve for x, let's isolate the variable. We can do this by adding 16 to both sides of the equation:
(x/7) - 16 + 16 = 3 + 16.
(x/7) = 19.
Step 6: Finally, multiply both sides of the equation by 7 to get rid of the fraction:
7 * (x/7) = 19 * 7.
x = 133.
Therefore, the number is 133.