Question

Question #7a23e

Answer 1

The 16th hole is `color(red)(234)` yards

Explanation:

If the 16th hole is `color(blue)x` yards,
then we have the `"ground":" map"` ratios:

`color(white)("XXX")45" yards" : 2.5" inches"= color(blue)x" yards":13"inches"`
or, as fractional ratios
`color(white)("XXX")(45" yards")/(2.5" inches")=(color(blue)x" yards")/(13 " inches")`

Multiplying both sides by `(13 " inches")`
`color(white)("XXX")(45" yards")/(2.5 cancel(" inches"))xx13 cancel("inches")=(color(blue)x" yards")/cancel(13 " inches")xxcancel(13" inches")`

`color(white)("XXX")(cancel(45)^18 " yards")/cancel(2.5)xx13=color(blue)x" yards"`

`color(white)("XXX")234" yards" = color(blue)x" yards"`