Difference between revisions of "1986 AJHSME Problems/Problem 15"
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==Problem== | ==Problem== | ||
− | Sale prices at the Ajax Outlet Store are <math>50\% </math> below original prices. On Saturdays an additional discount of <math>20\% </math> off the sale price is given. What is the Saturday price of a coat whose original price is <math>\ | + | Sale prices at the Ajax Outlet Store are <math>50\% </math> below original prices. On Saturdays an additional discount of <math>20\% </math> off the sale price is given. What is the Saturday price of a coat whose original price is <math>\textdollar 180</math>? |
− | <math>\text{(A)} | + | <math>\text{(A)}\ \$54 \qquad \text{(B)}\ \$72 \qquad \text{(C)}\ \$90 \qquad \text{(D)}\ \$108 \qquad \text{(E)}\ \$110</math> |
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==Solution== | ==Solution== |
Latest revision as of 12:02, 18 June 2025
Problem
Sale prices at the Ajax Outlet Store are below original prices. On Saturdays an additional discount of
off the sale price is given. What is the Saturday price of a coat whose original price is
?
Solution
First we need to do the first discount, which, at Ajax Outlet Store, would be there any day of the week.
If we discount , then
will be left, so after the second discount, we get
See Also
1986 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 14 |
Followed by Problem 16 | |
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 | ||
All AJHSME/AMC 8 Problems and Solutions |
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.