1995 AHSME Problems/Problem 3

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Problem

The total in-store price for an appliance is $$$99.99$. A television commercial advertises the same product for three easy payments of$$$29.98$ and a one-time shipping and handling charge of $$$9.98$. How many cents are saved by buying the appliance from the television advertiser?$ \mathrm{(A) \ 6 } \qquad \mathrm{(B) \ 7 } \qquad \mathrm{(C) \ 8 } \qquad \mathrm{(D) \ 9 } \qquad \mathrm{(E) \ 10 } $== Solution 1==$99.99 - (29.98*3 + 9.98) = 99.99 - 99.92 = .07 \Rightarrow \mathrm{(B)}$==Solution 2==

Alternately, the in-store price is$ (Error compiling LaTeX. Unknown error_msg)1$cent below$100.00$dollars.

The television price is$ (Error compiling LaTeX. Unknown error_msg)3\cdot 2 + 2 = 8$cents below$30.00 \cddot 3 + 10.00 = 100.00$dollars.

Therefore, the difference is$ (Error compiling LaTeX. Unknown error_msg)8 - 1 = 7$cents, and the answer is$\mathrm{(B)}$

See also

1995 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
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All AHSME Problems and Solutions