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One wintry week a ski town got 5 1/3 inches of snow. On monday the town got 2 3/4 inches; on tuesday it got 1 1/2 times as much; and on wednesday it got 7/8 inch. How much snow did the town get the rest of the week?

Respuesta :

Answer: The amount of snow the town get the rest of the week is given by

[tex]\frac{5}{24}[/tex]

Step-by-step explanation:

[tex]\text{ Total inches of snow town got in a week }=5\frac{1}{3}=\frac{16}{3}[/tex]

[tex]\text{ Amount of snow it is receiving on Monday}=2\frac{3}{4}=\frac{11}{4}\text{ inches }[/tex]

[tex]\text{Amount of snow it is receiving on Tuesday}=1\frac{1}{2}=\frac{3}{2}\text{ inches }[/tex]

[tex]\text{Amount of snow it is receiving on Wednesday}=\frac{7}{8}\text{ inches }[/tex]

[tex]\text{Amount it is receiving in remaining week is given by}[/tex]

[tex]\frac{16}{3}-(\frac{11}{4}+\frac{3}{2}+\frac{7}{8})\\\\=\frac{16}{3}-\frac{22+12+7}{8}\\\\=\frac{16}{3}-\frac{41}{8}\\\\=\frac{128-125}{8}\\\\=\frac{5}{24}\text{ inches }[/tex]

So, the amount of snow the town get the rest of the week is given by

[tex]\frac{5}{24}\text{ inches }[/tex]

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