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

the number is -36

Explanation:

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

x+9 = -18 . 3/2

x = -9 .3 -9

x= -36

Answer 2

The number is -36

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;

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

Open the bracket

`(2x)/(3)` + 6 = -18

subtract 6 from both-side of the equation

`(2x)/(3)` + 6 - 6 = -18-6

`(2x)/(3)` = -24

Multiply both-side of the equation by 3

`(2x)/(3)` × 3 = -24×3

2x = -72

Divide both-side of the equation by 2

`(2x)/(2)` =
`(-72)/(2)`

x = - 36

The number is -36