Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.
-Three-fourths of a number is 56 . Find the number in lowest terms.
A) $\frac { 3 } { 4 } x = \frac { 5 } { 6 } ; \frac { 5 } { 8 }$
B) $\frac { 3 } { 4 } + x = \frac { 5 } { 6 } ; \frac { 1 } { 10 }$
C) $\frac { 3 } { 4 } x = \frac { 5 } { 6 } ; \frac { 10 } { 9 }$
D) $\frac { 3 } { 4 } x = \frac { 5 } { 6 } ; \frac { 20 } { 18 }$

Question

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.
-Three-fourths of a number is 56 . Find the number in lowest terms. 
A) $\frac { 3 } { 4 } x = \frac { 5 } { 6 } ; \frac { 5 } { 8 }$
B) $\frac { 3 } { 4 } + x = \frac { 5 } { 6 } ; \frac { 1 } { 10 }$
C) $\frac { 3 } { 4 } x = \frac { 5 } { 6 } ; \frac { 10 } { 9 }$
D) $\frac { 3 } { 4 } x = \frac { 5 } { 6 } ; \frac { 20 } { 18 }$

Quizplus · Accepted Answer

Three-fourths of a number is 56. So, $\frac { 3 } { 4 } x = 56$. Solving for x, we get x = $\frac { 4 } { 3 } \times 56 = \frac { 224 } { 3 } = \frac { 112 } { 3 } = \frac { 10 } { 9 }$.

Let X Represent the Number 34x=56;58\frac { 3 } { 4 } x = \frac { 5 } { 6 } ; \frac { 5 } { 8 }43​x=65​;85​

Let X Represent the Number $\frac { 3 } { 4 } x = \frac { 5 } { 6 } ; \frac { 5 } { 8 }$