
Carrie C. answered 11/19/18
Credentialed Math and Science Teacher for over 4 years
Abrianna,
It looks like the question is to write an algebraic equation based on the written information.
Lets break it down:
3 more than means to add 3 to a number
quotient means the answer to a division problem
a number and 4 means to add 4
equal to 7 is exactly what that means
When "a number" is stated, you need to place a variable in for a number. The most common variable is "x" but any letter works.
Now that we broke that down lets go in order of how the question is written :
Three more than the quotient of a number and 4 is equal to 7
"+3" is three more
x/4 is the quotient of a number and 4
= 7
Without rearranging the number the equation looks like this :
+3 x/4 =7 but the words say 3 more than the quotient so we need to move the +3 to after the division
x/4 +3 = 7
(to clarify : the 3 is added to the whole fraction not the denominator)
x
--------- + 3 = 7
4
I hope this helps.