Difference between revisions of "2002 AMC 8 Problems/Problem 9"
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==Problem== | ==Problem== | ||
| − | + | Problems 8,9 and 10 use the data found in the accompanying paragraph and table: | |
| − | <math>\text{(A)}\ \ | + | <center> |
| + | Juan organizes the stamps in his collection by country and by the decade in which they were issued. The prices he paid for them at a stamp shop were: Brazil and | ||
| + | France, 6 cents each, Peru 4 cents each, and Spain 5 cents each. (Brazil and Peru are South American countries and France and Spain are in Europe.) | ||
| + | </center> | ||
| + | |||
| + | <asy> | ||
| + | /* AMC8 2002 #8, 9, 10 Problem */ | ||
| + | size(3inch, 1.5inch); | ||
| + | for ( int y = 0; y <= 5; ++y ) | ||
| + | { | ||
| + | draw((0,y)--(18,y)); | ||
| + | } | ||
| + | draw((0,0)--(0,5)); | ||
| + | draw((6,0)--(6,5)); | ||
| + | draw((9,0)--(9,5)); | ||
| + | draw((12,0)--(12,5)); | ||
| + | draw((15,0)--(15,5)); | ||
| + | draw((18,0)--(18,5)); | ||
| + | draw(scale(0.8)*"50s", (7.5,4.5)); | ||
| + | draw(scale(0.8)*"4", (7.5,3.5)); | ||
| + | draw(scale(0.8)*"8", (7.5,2.5)); | ||
| + | draw(scale(0.8)*"6", (7.5,1.5)); | ||
| + | draw(scale(0.8)*"3", (7.5,0.5)); | ||
| + | draw(scale(0.8)*"60s", (10.5,4.5)); | ||
| + | draw(scale(0.8)*"7", (10.5,3.5)); | ||
| + | draw(scale(0.8)*"4", (10.5,2.5)); | ||
| + | draw(scale(0.8)*"4", (10.5,1.5)); | ||
| + | draw(scale(0.8)*"9", (10.5,0.5)); | ||
| + | draw(scale(0.8)*"70s", (13.5,4.5)); | ||
| + | draw(scale(0.8)*"12", (13.5,3.5)); | ||
| + | draw(scale(0.8)*"12", (13.5,2.5)); | ||
| + | draw(scale(0.8)*"6", (13.5,1.5)); | ||
| + | draw(scale(0.8)*"13", (13.5,0.5)); | ||
| + | draw(scale(0.8)*"80s", (16.5,4.5)); | ||
| + | draw(scale(0.8)*"8", (16.5,3.5)); | ||
| + | draw(scale(0.8)*"15", (16.5,2.5)); | ||
| + | draw(scale(0.8)*"10", (16.5,1.5)); | ||
| + | draw(scale(0.8)*"9", (16.5,0.5)); | ||
| + | label(scale(0.8)*"Country", (3,4.5)); | ||
| + | label(scale(0.8)*"Brazil", (3,3.5)); | ||
| + | label(scale(0.8)*"France", (3,2.5)); | ||
| + | label(scale(0.8)*"Peru", (3,1.5)); | ||
| + | label(scale(0.8)*"Spain", (3,0.5)); | ||
| + | label(scale(0.9)*"Juan's Stamp Collection", (9,0), S); | ||
| + | label(scale(0.9)*"Number of Stamps by Decade", (9,5), N);</asy> | ||
| + | |||
| + | In dollars and cents, how much did his South American stamps issued before the ’70s cost him? | ||
| + | |||
| + | <math>\text{(A)}\ \$0.40 \qquad \text{(B)}\ \$1.06 \qquad \text{(C)}\ \$1.80 \qquad \text{(D)}\ \$2.38 \qquad \text{(E)}\ \$2.64</math> | ||
| + | |||
| + | ==Solution== | ||
| + | Brazil 50s and 60s total 11 stamps with each 6 cents, Peru 50s and 60s total 10 stamps with each 4 cents. So total <math>11*0.06+10*0.04 = \boxed{\text{(B)}\ \$1.06}</math> | ||
| + | |||
| + | ==Video Solution by WhyMath== | ||
| + | https://youtu.be/RWqatORHMow | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2002|num-b=8|num-a=10}} | {{AMC8 box|year=2002|num-b=8|num-a=10}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Latest revision as of 13:29, 29 October 2024
Problem
Problems 8,9 and 10 use the data found in the accompanying paragraph and table:
Juan organizes the stamps in his collection by country and by the decade in which they were issued. The prices he paid for them at a stamp shop were: Brazil and France, 6 cents each, Peru 4 cents each, and Spain 5 cents each. (Brazil and Peru are South American countries and France and Spain are in Europe.)
![[asy] /* AMC8 2002 #8, 9, 10 Problem */ size(3inch, 1.5inch); for ( int y = 0; y <= 5; ++y ) { draw((0,y)--(18,y)); } draw((0,0)--(0,5)); draw((6,0)--(6,5)); draw((9,0)--(9,5)); draw((12,0)--(12,5)); draw((15,0)--(15,5)); draw((18,0)--(18,5)); draw(scale(0.8)*"50s", (7.5,4.5)); draw(scale(0.8)*"4", (7.5,3.5)); draw(scale(0.8)*"8", (7.5,2.5)); draw(scale(0.8)*"6", (7.5,1.5)); draw(scale(0.8)*"3", (7.5,0.5)); draw(scale(0.8)*"60s", (10.5,4.5)); draw(scale(0.8)*"7", (10.5,3.5)); draw(scale(0.8)*"4", (10.5,2.5)); draw(scale(0.8)*"4", (10.5,1.5)); draw(scale(0.8)*"9", (10.5,0.5)); draw(scale(0.8)*"70s", (13.5,4.5)); draw(scale(0.8)*"12", (13.5,3.5)); draw(scale(0.8)*"12", (13.5,2.5)); draw(scale(0.8)*"6", (13.5,1.5)); draw(scale(0.8)*"13", (13.5,0.5)); draw(scale(0.8)*"80s", (16.5,4.5)); draw(scale(0.8)*"8", (16.5,3.5)); draw(scale(0.8)*"15", (16.5,2.5)); draw(scale(0.8)*"10", (16.5,1.5)); draw(scale(0.8)*"9", (16.5,0.5)); label(scale(0.8)*"Country", (3,4.5)); label(scale(0.8)*"Brazil", (3,3.5)); label(scale(0.8)*"France", (3,2.5)); label(scale(0.8)*"Peru", (3,1.5)); label(scale(0.8)*"Spain", (3,0.5)); label(scale(0.9)*"Juan's Stamp Collection", (9,0), S); label(scale(0.9)*"Number of Stamps by Decade", (9,5), N);[/asy]](http://latex.artofproblemsolving.com/f/6/7/f679bb00d960506089f9cd632a80bd218347de4e.png)
In dollars and cents, how much did his South American stamps issued before the ’70s cost him?
Solution
Brazil 50s and 60s total 11 stamps with each 6 cents, Peru 50s and 60s total 10 stamps with each 4 cents. So total 
Video Solution by WhyMath
See Also
| 2002 AMC 8 (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. 
