Help with an ACT math questions

<p>I know the answers but idk how to get them haha. If anyone could help me thatd be great</p>

<hr>

<p>If the first day of the year is a Monday, what is the 260th day?</p>

<p>A. Monday
B. Tuesday
C. Wednesday
D. Thursday
E. Friday</p>

<hr>

<p>If y=.25(100-y), then what is the value of y?</p>

<p>F. 200
G. 75
H. 25
J. 20
K. 18</p>

<p>the first answer is A</p>

<p>divide 259 by 7 for the first one, since there are 7 days in a week, and the first day is already taken. take the remainder and add it to monday as in weekdays. since the remainder is 0, the answer is monday.</p>

<p>the second is J</p>

<p>y=.25(100-y)
y=25-.25y
y=25/1.25
y=20</p>

<p>First one you can think about it like this:</p>

<p><em>1</em>rst day is monday, 2nd tuesday… 3, 4, 5, 6, 7, **8 is monday again, 9 tuesday so:</p>

<p>1+7w is the equation for everyday that’s a monday (you could set up 2 +7w as ever tueday), where ‘w’ pretty much stands for each week. You can then set up:</p>

<p>260 = 7d + 1 259 = 7d and you get no remainder so it must fall on a monday. If you get a remainder you can just logically count the offset, so if it was 262nd day, the remainder would be 2, so monday, tuesday, wednesday, etc.</p>

<p>1+7s</p>

<p>thank you!</p>