Difference between revisions of "1995 AHSME Problems/Problem 3"
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== Problem == | == Problem == | ||
| − | The total in-store price for an appliance is <math> | + | The total in-store price for an appliance is <math>$</math>99.99<math>. A television commercial advertises the same product for three easy payments of </math>$<math>29.98</math> and a one-time shipping and handling charge of <math>$</math>9.98<math>. How many cents are saved by buying the appliance from the television advertiser? |
| − | <math> \mathrm{(A) \ 6 } \qquad \mathrm{(B) \ 7 } \qquad \mathrm{(C) \ 8 } \qquad \mathrm{(D) \ 9 } \qquad \mathrm{(E) \ 10 } < | + | </math> \mathrm{(A) \ 6 } \qquad \mathrm{(B) \ 7 } \qquad \mathrm{(C) \ 8 } \qquad \mathrm{(D) \ 9 } \qquad \mathrm{(E) \ 10 } <math> |
| − | == Solution == | + | == Solution 1== |
| − | <math>99.99 - (29.98*3 + 9.98) = 99.99 - 99.92 = .07 \Rightarrow \mathrm{(B)}</math> | + | </math>99.99 - (29.98*3 + 9.98) = 99.99 - 99.92 = .07 \Rightarrow \mathrm{(B)}<math> |
| + | |||
| + | ==Solution 2== | ||
| + | |||
| + | Alternately, the in-store price is </math>1<math> cent below </math>100.00<math> dollars. | ||
| + | |||
| + | The television price is </math>3\cdot 2 + 2 = 8<math> cents below </math>30.00 \cddot 3 + 10.00 = 100.00<math> dollars. | ||
| + | |||
| + | Therefore, the difference is </math>8 - 1 = 7<math> cents, and the answer is </math>\mathrm{(B)}$ | ||
== See also == | == See also == | ||
Revision as of 23:58, 17 August 2011
Problem
The total in-store price for an appliance is 
99.99
$
and a one-time shipping and handling charge of 9.98
\mathrm{(A) \ 6 } \qquad \mathrm{(B) \ 7 } \qquad \mathrm{(C) \ 8 } \qquad \mathrm{(D) \ 9 } \qquad \mathrm{(E) \ 10 } 
99.99 - (29.98*3 + 9.98) = 99.99 - 99.92 = .07 \Rightarrow \mathrm{(B)}$==Solution 2==
Alternately, the in-store price is$ (Error compiling LaTeX. Unknown error_msg)1
100.00$dollars.
The television price is$ (Error compiling LaTeX. Unknown error_msg)3\cdot 2 + 2 = 8
30.00 \cddot 3 + 10.00 = 100.00$dollars.
Therefore, the difference is$ (Error compiling LaTeX. Unknown error_msg)8 - 1 = 7
\mathrm{(B)}$
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 | ||
