Difference between revisions of "1995 AHSME Problems/Problem 3"
Freddylukai (talk | contribs) (→Problem) |
Freddylukai (talk | contribs) (→Problem: added solution) |
||
Line 3: | Line 3: | ||
<math> \mathrm{(A) \ 6 } \qquad \mathrm{(B) \ 7 } \qquad \mathrm{(C) \ 8 } \qquad \mathrm{(D) \ 9 } \qquad \mathrm{(E) \ 10 } </math> | <math> \mathrm{(A) \ 6 } \qquad \mathrm{(B) \ 7 } \qquad \mathrm{(C) \ 8 } \qquad \mathrm{(D) \ 9 } \qquad \mathrm{(E) \ 10 } </math> | ||
+ | |||
+ | |||
+ | == Solution == | ||
+ | IMPORTANT NOTICE: The original problem statement had "how much is saved". However, because this made little sense when the calculations were done, the problem statement was changed to "how many cents". | ||
+ | |||
+ | We see that 3 payments of <math>\textdollar 29.98</math> will be a total cost of <math>3\cdot(30-.02)=90-.06</math> | ||
+ | |||
+ | Adding this to <math>\textdollar9.98</math> we have a total of <math>99.98-.06</math> | ||
+ | |||
+ | Clearly, this differs from <math>\textdollar 99.99</math> by <math>7</math> cents. Thus, the answer is <math>\fbox{\text{(B)}}</math> | ||
== See also == | == See also == |
Revision as of 22:18, 9 February 2012
Problem
The total in-store price for an appliance is . A television commercial advertises the same product for three easy payments of
and a one-time shipping and handling charge of
. How many cents are saved by buying the appliance from the television advertiser?
Solution
IMPORTANT NOTICE: The original problem statement had "how much is saved". However, because this made little sense when the calculations were done, the problem statement was changed to "how many cents".
We see that 3 payments of will be a total cost of
Adding this to we have a total of
Clearly, this differs from by
cents. Thus, the answer is
See also
1995 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |