x = unknown number
[tex]\frac{x+4}{7} =10[/tex]
The quotient(division) of four more(addition) than a number(x) and seven is(=) ten
(So "four more than a number" means that 4 is added to x ---> x + 4)
("The quotient of four more than a number and seven" means that x + 4 is divided by 7)
[If you need to find the value of x]
To find "x", you need to isolate/get the variable "x" by itself in the equation:
[tex]\frac{x+4}{7} =10[/tex] First multiply 7 on both sides
[tex](7)\frac{x+4}{7} =(7)10[/tex]
x + 4 = 70 Subtract 4 on both sides to get "x" by itself
x + 4 - 4 = 70 - 4
x = 66
The quotient of four (4) more than a number (n) and seven (7) is ten (10) equals: [tex]\frac{n + 4}{7} = 10[/tex]
In Mathematics, quotient literally means dividing a particular number by another number i.e the division of two (2) numbers.
Next, we would translate the word problem (sentence) into an algebraic expression as follows;
[tex]\frac{n + 4}{7} = 10[/tex]
In conclusion, the algebraic expression for the quotient of four (4) more than a number (n) and seven (7) is ten (10) equals: [tex]\frac{n + 4}{7} = 10[/tex]
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