Difference between revisions of "1994 AJHSME Problems/Problem 9"
Mrdavid445 (talk | contribs) (Created page with "==Problem== A shopper buys a <math>100</math> dollar coat on sale for <math>20\% </math> off. An additional <math>5</math> dollars are taken off the sale price by using a disco...") |
|||
| (One intermediate revision by one other user not shown) | |||
| Line 4: | Line 4: | ||
<math>\text{(A)}\ \text{81.00 dollars} \qquad \text{(B)}\ \text{81.40 dollars} \qquad \text{(C)}\ \text{82.00 dollars} \qquad \text{(D)}\ \text{82.08 dollars} \qquad \text{(E)}\ \text{82.40 dollars}</math> | <math>\text{(A)}\ \text{81.00 dollars} \qquad \text{(B)}\ \text{81.40 dollars} \qquad \text{(C)}\ \text{82.00 dollars} \qquad \text{(D)}\ \text{82.08 dollars} \qquad \text{(E)}\ \text{82.40 dollars}</math> | ||
| + | |||
| + | ==Solution== | ||
| + | After the <math>20\%</math> sale, the coat costs <math>100(0.8)=80</math> dollars. Then <math>5</math> dollars are taken off for a cost of <math>80-5=75</math>. Adding on the sales tax, the final amount is <math>(75)(1.08)=\boxed{\text{(A)}\ 81.00\ \text{dollars}}</math>. | ||
| + | |||
| + | ==See Also== | ||
| + | {{AJHSME box|year=1994|num-b=8|num-a=10}} | ||
| + | {{MAA Notice}} | ||
Latest revision as of 23:13, 4 July 2013
Problem
A shopper buys a 
dollar coat on sale for 
off. An additional 
dollars are taken off the sale price by using a discount coupon. A sales tax of 
is paid on the final selling price. The total amount the shopper pays for the coat is
Solution
After the sale, the coat costs 
dollars. Then dollars are taken off for a cost of 
. Adding on the sales tax, the final amount is 
.
See Also
| 1994 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 8 |
Followed by Problem 10 | |
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
