Question 1070699

Jack has a piano lesson twice a week and Hannah has a piano lesson every other week. In a
given term, Jack has 15 more lessons than Hannah. How many weeks long is their term?
(A) 30 (B) 25 (C) 20 (D) 15 (E) 10
<pre>Let number of weeks be W
No. of lessons Jack has in W weeks: 2W
No. of lessons Hannah has in W weeks: {{{matrix(1,3, (1/2) * W, or, W/2)}}}
We then get: {{{2W = W/2 + 15}}}
4W = W + 30 ------- Multiplying by LCD, 2
4W - W = 30
3W = 30
W, or number of weeks in which Jack had 15 more lessons: {{{highlight_green(matrix(1,5, 30/3, or, 10, "(CHOICE", "E)"))}}}