Question

two time the quantity of seven less than one fourth is equal to four more than one third of the number. what is the number

Answer 1

2(7) - 1/4 = 4 + 1/3x

x = 117/4

Explanation:

solving an equation with one missing variable

step 1: multiply 2 * 7

ex: 14 - 1/4 = 4 + 1/3x

step 2: subtract 14 from 1/4

ex: 55/4 = 4 + 1/3x

step 3: subtract 4 from both sides of the equation

55/4 - 4 = 4 + 1/3x - 4 (39/4 = 1/3x)

step 4: divide both sides of the equation by 1/3

ex: 39/4 / 1/3 = 1/3x / 1/3 (x = 117/4 or x = 29 1/4)

step 5: to check your answer add the answer you got from the last equation which was 117/4 or 29 1/4 and input it into the original equation and get your final answer

ex: 2(7) - 1/4 = 4 + 1/3(117/4)

14 - 1/4 = 4 + 39/4

55/4 = 55/4 (if both sides of the equation are the same numbers like 55/4 = 55/4 then your answer is true)