Brain teaser/ logic homework?
I don't understand these problems hopefully you the answerer can guide me through the explanation and answers:
1. I subsribe to the comic-of-the-month club. Each month I can buy any number of the 48 titles offered by the club. The first month I bought five comics for $3.07. The second month I bought two comics for $1.72. The next month I bought six of the club offerings for $3.52. In May I bought three more for a charge of $2.17. The club charges a handling fee and then a fee for each comic. How much would it have cost to buy all 48 titles at the same time?
- chauncyLv 71 decade agoFavorite Answer
The question doesn't say whether all comics cost the same. Assuming they do, let the cost of a comic = c and the handling fee = h.
Then we can find h and c by solving simultaneously the equations for any 2 transactions. I'll use the first two:
h + 5c = $3.07
h + 2c = $1.72
Subtracting the second equation from the first, we get
3c = $1.35
c = 45 cents
and h = $1.72 - 2c = $1.72 - 90 cents = 82 cents.
(I note that
h + 6c = 82 cents + (6 x 45) cents = $3.52 and
h + 3c = 82 cents + (3 x 45) cents = $2.17,
so evidently the comics are indeed all the same price.)
The cost of buying 48 titles at once =
82 cents + (48 x 45) cents
= 82 cents + $21.60
- 6 years ago
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