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

alexis washes 10 12 windows in 34 hours At this rate how many windows can she wash in one hour class=

Respuesta :

Alexis can wash a total of 14 windows in 1 hour

Solution:

Given that Alexis washes [tex]10\frac{1}{2}[/tex] windows in [tex]\frac{3}{4}[/tex] hours

To find: number of windows washed in one hour

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

[tex]\begin{array}{l}{=10 \frac{1}{2}} \\\\ {=\frac{2 \times 10+1}{2}} \\\\ {=\frac{21}{2}=10.5}\end{array}[/tex]

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,

[tex]n \times 0.75 = 10.5 \times 1[/tex]

[tex]n = \frac{10.5}{0.75} \\\\n = 14[/tex]

Thus Alexis can wash 14 windows in one hour