Difference between revisions of "1990 AJHSME Problems/Problem 13"

(Solution)
(Solution)
Line 9: Line 9:
 
After the first ounce, there are <math>3.5</math> ounces left.  Thus, it is required to pay for <math>3</math> ounces and then the extra half.
 
After the first ounce, there are <math>3.5</math> ounces left.  Thus, it is required to pay for <math>3</math> ounces and then the extra half.
  
The total price is <math>30+3.5\times 22=107</math> cents, which is choice <math>\boxed{\text{B}}</math>.
+
The total price is <math>30+3.5\times 22=107</math> cents, which is choice <math>\boxed{\text{B}}</math>. The answer key is wrong, it says <math>C</math> when the answer is <math>B</math>
  
 
==See Also==
 
==See Also==

Revision as of 22:38, 13 November 2016

Problem

One proposal for new postage rates for a letter was $30$ cents for the first ounce and $22$ cents for each additional ounce (or fraction of an ounce). The postage for a letter weighing $4.5$ ounces was

$\text{(A)}\ \text{96 cents} \qquad \text{(B)}\ \text{1.07 dollars} \qquad \text{(C)}\ \text{1.18 dollars} \qquad \text{(D)}\ \text{1.20 dollars} \qquad \text{(E)}\ \text{1.40 dollars}$

Solution

After the first ounce, there are $3.5$ ounces left. Thus, it is required to pay for $3$ ounces and then the extra half.

The total price is $30+3.5\times 22=107$ cents, which is choice $\boxed{\text{B}}$. The answer key is wrong, it says $C$ when the answer is $B$

See Also

1990 AJHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 12
Followed by
Problem 14
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. AMC logo.png