the quotient of 4 more than a number and 7 is 10

the quotient of 4 more than a number and 7 is 10

Take this algebraic expression in pieces:

The phrase a number means an arbitrary variable, let's call it x.
x

4 more than a number means we add 4 to x:
x + 4

The quotient of 4 more than a number and 7 means we divide x + 4 by 7
(x + 4)/7

The word is means an equation, so we set (x + 4)/7 equal to 10 to get our algebraic expression of:
(x + 4)/7 = 10

If the problem asks you to solve for x, then we cross multiply:
x + 4 = 10 * 7
x + 4 = 70

Subtract 4 from each side:
x + 4 - 4 = 70 - 4
x = 66