MHB Calculating Annual Saving: Word Problem

  • Thread starter Thread starter emmayu
  • Start date Start date
  • Tags Tags
    Word problem
AI Thread Summary
The discussion centers on a math problem regarding calculating annual savings between two mobile network plans, the Gem and Royale plans. A user expresses confusion over the problem, particularly regarding the inclusion of both annual and monthly fees. The calculations reveal that the total annual cost for the Gem plan is £384.99, while the Royale plan totals £443.49, indicating a savings of £58.50 when choosing the Gem plan. However, this calculated savings does not match any provided answer options, leading to further confusion. The conversation highlights the need for clarity in the problem's wording and fee structure.
emmayu
Messages
1
Reaction score
0
Hi, guys, I could not figure out the answer to this Q, no matter how hard I did this math. I know this should not be a difficult one, but really my answer never matched the correct one. Please do help me on how to get the answer? Many thanks!

wgpbls.jpg
 
Last edited by a moderator:
Mathematics news on Phys.org
emmayu said:
Hi, guys, I could not figure out the answer to this Q, no matter how hard I did this math. I know this should not be a difficult one, but really my answer never matched the correct one. Please do help me on how to get the answer? Many thanks!
View attachment 800

Hi emmayu, :)

Welcome to MHB! I feel that there is a mistake or something missing in this question. What confuses me most is why the problem mentions an annual fee as well as a monthly fee for each of the network plans. :confused:

Annual fee for Gem plan is, 54.99. Note that the customer uses an excess of 50 mins each month for mobile (same network) and mobile (other network) calls. That is if he uses Gem plan he has to pay 50*0.25 + 50*0.30 each month for the excess minutes he used. That constitutes to a 12*(50*0.25 + 50*0.30) annual fee. So the total fee for using the Gem plan is 54.99 + 12*(50*0.25 + 50*0.30) = 384.99 annually.

Since this customer uses the Gem plan we can conclude that he uses 200 mins(same network) and 200 mins(other networks) monthly. Therefore for the Royale plan we get, 59.49 + 12*100*0.32=443.49 annual fee.

So the saving for using the Gem plan is, 443.49-384.99=58.5 which isn't among the answers.

All the above currency amounts are given in pounds.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

Similar threads

Replies
4
Views
2K
Replies
7
Views
3K
Replies
4
Views
2K
Replies
3
Views
1K
Replies
8
Views
2K
Replies
2
Views
2K
Replies
3
Views
2K
Back
Top