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at total of 2 feet of snow falls over three days on the first day 1/6 of the snow falls on the second day 7/12 of the snow falls




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Sagot :

Answer:

[tex]Day\ 3 = 1\frac{3}{12}[/tex]

Step-by-step explanation:

Given

[tex]Total = 2ft[/tex]

[tex]Day\ 1 = \frac{1}{6}[/tex]

[tex]Day\ 2 = \frac{7}{12}[/tex]

Required

Determine the amount of snow on day 3

This can be calculated using:

[tex]Day\ 1 + Day\ 2 + Day\ 3 = Total[/tex]

Substitute values for the known parameters

[tex]\frac{1}{6} + \frac{7}{12} + Day\ 3 = 2[/tex]

Collect Like Terms

[tex]Day\ 3 = 2 - \frac{1}{6} - \frac{7}{12}[/tex]

Take LCM

[tex]Day\ 3 = \frac{24 - 2 - 7}{12}[/tex]

[tex]Day\ 3 = \frac{15}{12}[/tex]

Express as mixed number

[tex]Day\ 3 = 1\frac{3}{12}[/tex]