Question

How do you solve `\frac { 5} { 9} = \frac { 28} { h + 17}`?

Answer 1

`color(green)(h=43 2/5`

Explanation:

Given
`color(white)("XXX")5/9=28/(h+7)`

Multiply both sides by `9(h+7)` (sometimes called "cross multiplying")
`color(white)("XXX")5/cancel(9) xx (cancel(9)(h+7))/color(white)("X") = 28/(cancel(h+7))xx(9(cancel(h+7)))/color(white)("X")`

`color(white)("XXX")5h+35=252`

Subtract `35` from both sides:
`color(white)("XXX")5hcancel(+35)cancel(-35)=252-35`

`color(white)("XXX")5h= 217`

Divide both sides by `5`
`color(white)("XXX")(cancel(5)h)/cancel(5)=217/5`

`color(white)("XXX")h=43 2/5`