Question

1. Four less than half a number is equal to 37 less than twice the number. How to translate the sentence into an equation and solve the equation?

Answer 1

`22`

Explanation:

I'm going to abbreviate `"number"` to `n`.

Let's turn the sentence into a equation in chunks.

`stackrel(1/2n - 4)overbrace"4 less than half a number" " " stackrel(=)overbrace"is equal to" " "stackrel(2n -37)overbrace" 37 less than twice the number"`

`1/2n - 4 = 2n - 37`

I'm going to change `1/2 rarr 0.5` to solve the question easier:

`0.5n - 4 = 2n - 37`

`0.5n + 33 = 2n`

`33 = 1.5n`

`22 = n`

So the solution is `22`.