Question

How do you solve `\frac{18}{12} = \frac{r + 10}{10}`?

Answer 1

`color(green)(r=5)`

Explanation:

Given
`color(white)("XXX")18/12=(r+10)/10`

Multiply both sides by `(12xx10)` to get
`color(white)("XXX")18/cancel(12) xx(cancel(12)xx10)=(r+10)/cancel(10) xx(12xxcancel(10))`

`color(white)("XXX")180=12r+120`

Subtract `120` from both sides:
`color(white)("XXX")60=12r`

Divide both sides by `12`
`color(white)("XXX")5=rcolor(white)("XX")orcolor(white)("XX")r=5`