<p>Here is the first, more may come.</p>
<p>If x and y are both positive multiples of 14 such that 3x = .72 y, what is the average (arithmetic mean) of the least possible value of x and the least possible value of y?</p>
<p>It's a grid in.</p>
<p>15.5?</p>
<p>x=6
y=25</p>
<p>If you divide both sides of the equation by 3, you get x=.24y</p>
<p>Since you know x is a multiple of 14, you can plug in multiples at this point until you arrive at a correct answer: 14/.24=not a multiple, 28/.24=not a multiple, 42/.24=not a multiple, … eventually you end up with 84/.24=350, which is a multiple. Therefore, x is 84 and y is 350. The average of x and y is 217.</p>
<p>omg, i love you, you’re amazing.
this will help so much tomorrow, thanks.</p>
<p>Turn .72 into a regular fraction and use the fact that both x and y are positive integers.</p>