Question

Sixteen is the same as one and two-tenths times a number added to negative 8

Answer 1

20

Explanation:

⇔ We can set up an equation using the information given to us

`16 =1 (2)/(10) x+-8`

We can that 16 is equal or the same as, one and two tenths times a number which is 'x' added to negative 8

⇔ The minus cancels out the plus

`16=1(2)/(10) x-8`

⇔ Add 8 to both sides to isolate
`1(2)/(10) x`

`24 =1 (2)/(10) x\\`

⇔ Convert
`1(2)/(10) x` to improper fraction to make solving easier

`24 = (12)/(10) x`

⇔ Multiply both sides by 10 to isolate 12x

240 = 12x

⇔ Divide both sides by 12 to isolate x

20 = x

→ The 'number' is 20

Answer 2

20

Explanation:

16=1 2/10R + -8

16+8= 12/10R

24=12/10R

R=20