# Jasper can type 1,125 words in 30 minutes. At this rate, how many words can Jasper type in 50 minutes?

May 16, 2016

$\textcolor{g r e e n}{1875}$ words in 50 minutes

#### Explanation:

Let $x$ be the number of words Jasper can type in $50$ minutes.

This is a basic ratio type of question. We assume that the ratio of words to minutes remains constant.

Therefore
$\textcolor{w h i t e}{\text{XXX")(1125" words")/(30 " minutes") = (x " words")/(50" minutes}}$

This can be rearranged as
color(white)("XXX")x" words" = (1125 " words"xx 50 cancel(" minutes"))/(30 cancel(" minutes"))

color(white)("XXXXXXXX")= (color(red)(cancelcolor(black)(1125)^color(black)(375)) " words"xx 5color(blue)(cancelcolor(black)(0)))/(color(red)(cancelcolor(black)(3)color(blue)(cancelcolor(black)(0))

color(white)("XXXXXXXX")=1875" words"