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

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==Juan's Old Stamping Grounds==
 
 
Problems 8,9 and 10 use the data found in the accompanying paragraph and table:
 
 
<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 &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 <math>80\text{'s}?</math>
 
 
<math>\text{(A)}\ \textdollar 0.40 \qquad \text{(B)}\ \textdollar 1.06 \qquad \text{(C)}\ \textdollar 1.80 \qquad \text{(D)}\ \textdollar 2.38 \qquad \text{(E)}\ \textdollar 2.64</math>
 
 
==Solution==
 
The number of stamps from Brazil in the '50s and '60s is <math>4+7=11</math>, and they cost 6 cents each for a total of <math>11 \cdot \textdollar 0.06 = \textdollar 0.66</math>. The number of stamps from Peru in the '50s and '60s is <math>6+4=10</math>, and they cost 4 cents each for a total of <math>10 \cdot \textdollar 0.04 = \textdollar 0.40</math>. In total, he paid <math>0.66 + 0.40 = \boxed{\text{(B)}\ \textdollar 1.06}</math>.
 
 
 
==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}}

Revision as of 16:47, 15 December 2019

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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