Question

Kelsey is thinking of a number. She says that the sum of a number and 9, multiplied by 2/3 is equal to -18

Answer 1

Answer:

the number is -36

Step-by-step explanation:

(x+9) . 2/3 = -18

x+9 = -18 . 3/2

x = -9 .3 -9

x= -36

Answer 2

Answer:

The number is -36

Step-by-step explanation:

To solve this problem, we will follow the steps below;

First, we need to re-write the problem in a mathematical format.

Let x be the number

"Kelsey is thinking of a number. She says that the sum of a number and 9, multiplied by 2/3 is equal to -18"  can be mathematically written as;

$\frac{2}{3} (x + 9)$  =   -18

Open the bracket

$\frac{2x}{3}$  +  6  = -18

subtract 6 from both-side of the equation

$\frac{2x}{3}$  +  6 - 6 = -18-6

$\frac{2x}{3}$    = -24

Multiply both-side of the equation by 3

$\frac{2x}{3}$  × 3 = -24×3

2x = -72

Divide both-side of the equation by 2

$\frac{2x}{2}$ = $\frac{-72}{2}$

x = - 36

The number is -36