Question

Three-fourths of a number increased by one-half is equal to fourteen.

Find the number.

10 3/8
18
10 1/8
19 1/3

Answer 1

\(\frac{3}{4}x+\frac{1}{2}=14\)

Answer 2

subtract both sides by 1/2

Answer 3

\(\frac{3}{4}x+\frac{1}{2}-\color{red}{\frac{1}{2}}=14-\color{red}{\frac{1}{2}}\)

Answer 4

\(\frac{3}{4}x=\frac{27}{2}\)

Answer 5

multiply both sides by 4/3

Answer 6

\(\color{red}{\frac{4}{3}}\times\frac{3}{4}x=\frac{27}{2}\times\color{red}{\frac{4}{3}}\)

Answer 7

\(x=?\)
solve it @Falconmaster