Question

Ten times the sum of half a number amd 6 is 8 ?

Answer 1

The number is -10.4

First we need to define the terms so

n = a number

Next we want to rewrite the sentence in standard form

10(.5n + 6) = 8

Distribute the 10

10(.5n) + 60 = 8

5n + 60 = 8

Subtract 60 from both sides

5n = -52

Divide both sides by 5

n = -10.4

Now we can check but substituting -10.4 for n in the original equation

10(-10.4/2 + 6) = 8
10(-5.2 + 6) = 8
10(.8) = 8
8 = 8
This is true so we know that the number is -10.4