Equation - Word problems

SOURCE:COMPETITION
Number of Problems: 9. : (Book)

Chandra pays an on-line service provider a fixed monthly fee plus an hourly charge for connect time. Her December bill was $\text{[math]}$ $12.48$ , but in January her bill was $\text{[math]}$ $17.54$ because she used twice as much connect time as in December. What is the fixed monthly fee?

$mathrm{(A)}$ $2.53 qquadmathrm{(B)}$ $5.06 qquadmathrm{(C)}$ $6.24 qquadmathrm{(D)}$ $7.42 qquadmathrm{(E)}$ $8.77$

The product of three consecutive positive integers is $8$ times their sum. What is the sum of their squares?

$mathrm{(A)} 50qquadmathrm{(B)} 77qquadmathrm{(C)} 110qquadmathrm{(D)} 149qquadmathrm{(E)} 194$

Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 43. What would her answer have been had she worked the problem correctly?

$mathrm{(A) } 15qquad mathrm{(B) } 34qquad mathrm{(C) } 43qquad mathrm{(D) } 51qquad mathrm{(E) } 138$

A football game was played between two teams, the Cougars and the Panthers. The two teams scored a total of 34 points, and the Cougars won by a margin of 14 points. How many points did the Panthers score?

$mathrm{(A) } 10qquad mathrm{(B) } 14qquad mathrm{(C) } 17qquad mathrm{(D) } 20qquad mathrm{(E) } 24$

Twenty percent off 60 is one-third more than what number?

$mathrm{(A)} 16qquadmathrm{(B)} 30qquadmathrm{(C)} 32qquadmathrm{(D)} 36qquadmathrm{(E)} 48$

Heather compares the price of a new computer at two different stores. Store $A$ offers $15\%$ off the sticker price followed by a $\text{[math]}$ $90$ rebate, and store $B$ offers $25\%$ off the same sticker price with no rebate. Heather saves $\text{[math]}$ $15$ by buying the computer at store $A$ instead of store $B$ . What is the sticker price of the computer, in dollars?

$mathrm{(A)} 750qquadmathrm{(B)} 900qquadmathrm{(C)} 1000qquadmathrm{(D)} 1050qquadmathrm{(E)} 1500$