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

(→‎Problem 8)
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==Juan's Old Stamping Grounds==
  
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== Problem 8 ==
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Problems 8,9 and 10 use the data found in the accompanying paragraph and table:
  
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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 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).How many of his European stamps were issued in the '80s?
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<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);
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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));
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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));
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draw(scale(0.8)*"6", (13.5,1.5));
 +
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));
 +
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>
  
−
<math> \text{(A)}\ 9\qquad\text{(B)}\ 15\qquad\text{(C)}\ 18\qquad\text{(D)}\ 24\qquad\text{(E)}\ 42 </math>
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==Problem==
 +
 
 +
How many of his European stamps were issued in the '80s?
 +
 
 +
<math>\text{(A)}\ 9 \qquad \text{(B)}\ 15 \qquad \text{(C)}\ 18 \qquad \text{(D)}\ 24 \qquad \text{(E)}\ 42</math>
 +
 
 +
==Solution==
 +
Franc and Spain are European countries. The number of '80s stamps from France is <math>15</math> and the number of '80s stamps from Spain is <math>9</math>. The total number of stamps is <math>15+9=\boxed{\text{(D)}\ 24}</math>.
 +
 
 +
==See Also==
 +
{{AMC8 box|year=2002|num-b=7|num-a=9}}

Revision as of 19:19, 23 December 2012

Juan's Old Stamping Grounds

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]

Problem

How many of his European stamps were issued in the '80s?

$\text{(A)}\ 9 \qquad \text{(B)}\ 15 \qquad \text{(C)}\ 18 \qquad \text{(D)}\ 24 \qquad \text{(E)}\ 42$

Solution

Franc and Spain are European countries. The number of '80s stamps from France is $15$ and the number of '80s stamps from Spain is $9$. The total number of stamps is $15+9=\boxed{\text{(D)}\ 24}$.

See Also

2002 AMC 8 (Problems • Answer Key • Resources)
Preceded by
Problem 7 		Followed by
Problem 9
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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