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A building has two sizes of apartments, small and regular. The ratio of small apartments to regular apartments is 14 to 6. What percent of apartments in the building are small?

Respuesta :

Answer:

[tex]\%Percent = 70\%[/tex]

Step-by-step explanation:

Given

Represent Small Apartments with S and the Regular ones with R

[tex]S:R = 14:6[/tex]

Required

Determine the percentage of small buildings

This is calculated as thus:

[tex]\%Percent = \frac{S}{S + R} * 100\%[/tex]

Substitute values for S and R

[tex]\%Percent = \frac{14}{14 + 6} * 100\%[/tex]

[tex]\%Percent = \frac{14}{20} * 100\%[/tex]

[tex]\%Percent = \frac{14* 100\%}{20}[/tex]

[tex]\%Percent = \frac{1400\%}{20}[/tex]

[tex]\%Percent = 70\%[/tex]

Hence, the percentage if the small apartments is 70%

Note that if we're to calculate the percentage of the regular ones, the formula would have been:

[tex]\%Percent = \frac{R}{S + R} * 100\%[/tex]