Difference between revisions of "2002 AMC 8 Problems/Problem 9"

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==Problem==
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Problems 8,9 and 10 use the data found in the accompanying paragraph and table:
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<center>
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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
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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.)
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</center>
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<asy>
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/* AMC8 2002 #8, 9, 10 Problem */
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size(3inch, 1.5inch);
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for ( int y = 0; y &lt;= 5; ++y )
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{
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draw((0,y)--(18,y));
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}
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draw((0,0)--(0,5));
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draw((6,0)--(6,5));
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draw((9,0)--(9,5));
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draw((12,0)--(12,5));
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draw((15,0)--(15,5));
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draw((18,0)--(18,5));
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draw(scale(0.8)*"50s", (7.5,4.5));
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draw(scale(0.8)*"4", (7.5,3.5));
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draw(scale(0.8)*"8", (7.5,2.5));
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draw(scale(0.8)*"6", (7.5,1.5));
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draw(scale(0.8)*"3", (7.5,0.5));
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draw(scale(0.8)*"60s", (10.5,4.5));
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draw(scale(0.8)*"7", (10.5,3.5));
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draw(scale(0.8)*"4", (10.5,2.5));
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draw(scale(0.8)*"4", (10.5,1.5));
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draw(scale(0.8)*"9", (10.5,0.5));
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draw(scale(0.8)*"70s", (13.5,4.5));
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draw(scale(0.8)*"12", (13.5,3.5));
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draw(scale(0.8)*"12", (13.5,2.5));
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draw(scale(0.8)*"6", (13.5,1.5));
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draw(scale(0.8)*"13", (13.5,0.5));
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draw(scale(0.8)*"80s", (16.5,4.5));
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draw(scale(0.8)*"8", (16.5,3.5));
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draw(scale(0.8)*"15", (16.5,2.5));
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draw(scale(0.8)*"10", (16.5,1.5));
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draw(scale(0.8)*"9", (16.5,0.5));
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label(scale(0.8)*"Country", (3,4.5));
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label(scale(0.8)*"Brazil", (3,3.5));
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label(scale(0.8)*"France", (3,2.5));
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label(scale(0.8)*"Peru", (3,1.5));
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label(scale(0.8)*"Spain", (3,0.5));
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label(scale(0.9)*"Juan's Stamp Collection", (9,0), S);
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label(scale(0.9)*"Number of Stamps by Decade", (9,5), N);</asy>
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In dollars and cents, how much did his South American stamps issued before the ’70s cost him?
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<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>
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==Solution==
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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>
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==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 03:56, 6 January 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 &lt;= 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?

$\text{(A)}\ $0.40 \qquad \text{(B)}\ $1.06 \qquad \text{(C)}\ $1.80 \qquad \text{(D)}\ $2.38 \qquad \text{(E)}\ $2.64$

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 $11*0.06+10*0.04 = \boxed{\text{(B)}\ $1.06}$

See Also

2002 AMC 8 (ProblemsAnswer KeyResources)
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

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