Question

Alexis washes 10 1/2 windows in 3/4 hours. At this rate, how many windows can she wash in one hour?

Answer 1

Alexis can wash a total of 14 windows in 1 hour

Solution:

Given that Alexis washes
`10(1)/(2)` windows in
`(3)/(4)` hours

To find: number of windows washed in one hour

To simplify the calculations we will convert the given mixed fraction to improper fraction

`\begin{array}{l}{=10 (1)/(2)} \\\\ {=(2 * 10+1)/(2)} \\\\ {=(21)/(2)=10.5}\end{array}`

Hence, to wash 10.5 windows, Alexis takes 0.75 hours

Let "n" be the number of windows washed in 1 hour

10.5 windows ⇒ 0.75 hours

"n" windows ⇒ 1 hour

By cross-multiplication we get,

`n * 0.75 = 10.5 * 1`

`n = (10.5)/(0.75) \\\\n = 14`

Thus Alexis can wash 14 windows in one hour