SOLUTION: 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)

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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
Found 3 solutions by ankor@dixie-net.com, ikleyn, MathTherapy:
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website!
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?
;
let w = no. of weeks
- = 15
multiply equation by 2 cancel the denominators
2w - w = 30
w = 30 weeks

Answer by ikleyn(52776)   (Show Source):
You can put this solution on YOUR website!
.
Each two weeks, Jack has in three piano lessons more than Hannah.

To get the difference of 15 lessons, the term must count 2*5 = 10 weeks.

Answer by MathTherapy(10551)   (Show Source):
You can put this solution on YOUR website!

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

Let number of weeks be W
No. of lessons Jack has in W weeks: 2W
No. of lessons Hannah has in W weeks:
We then get:
4W = W + 30 ------- Multiplying by LCD, 2
4W - W = 30
3W = 30
W, or number of weeks in which Jack had 15 more lessons: