2014 CEMC Gauss (Grade 8) Problems/Problem 11

Problem

John was born on a Wednesday. Alison was born 72 days later. On what day of the week was Alison born?

$\text{ (A) }\ \text{Thursday} \qquad\text{ (B) }\ \text{Monday} \qquad\text{ (C) }\ \text{Sunday} \qquad\text{ (D) }\ \text{Saturday} \qquad\text{ (E) }\ \text{Friday}$

Solution

A week has $7$ days, so the days of the week repeat every $7$ days. $7$ goes into $72$ ten times, but with a remainder of $2$ . Thus, we need to know what day of the week is $2$ days after Wednesday.

The day of the week that is $2$ days after Wednesday is $\boxed {\textbf {(E) } \text{Friday}}$ .

~anabel.disher

2014 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources)
Preceded by Problem 10	Followed by Problem 12
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2014 CEMC Gauss (Grade 8) Problems/Problem 11

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