Question

22. "The quotient of three and five times
a number is four."
5(2):3

Answer 1

Answer:

$\frac{5x}{3} =4$ ; $x=2.4$

Step-by-step explanation:

Set up the equation.

5 and a number would be divided by 3 to get the quotient of 4.

$\frac{5x}{3} =4$

To solve the equation:

1) Multiply both sides by the reciprocal of 5x/3.

$\frac{3}{5x} *\frac{5x}{3} = 4*3$

$5x=12$

2) Divide both sides of 5 to get x by itself.

$\frac{5x}{5} =\frac{12}{5}$

$x=2.4$

2.4 ≈ 2

The value of x is 2.4. If the question asks to round the value, then the answer would be 2.