Difference between revisions of "2008 AMC 8 Problems/Problem 8"

m (minor edit)
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==Problem==
+
== Problem ==
 
Candy sales from the Boosters Club from January through April are shown. What were the average sales per month in dollars?
 
Candy sales from the Boosters Club from January through April are shown. What were the average sales per month in dollars?
 +
 
<asy>
 
<asy>
 
draw((0,0)--(36,0)--(36,24)--(0,24)--cycle);
 
draw((0,0)--(36,0)--(36,24)--(0,24)--cycle);
Line 12: Line 13:
 
fill((20,0)--(24,0)--(24,8)--(20,8)--cycle, black);
 
fill((20,0)--(24,0)--(24,8)--(20,8)--cycle, black);
 
fill((28,0)--(32,0)--(32,24)--(28,24)--cycle, black);
 
fill((28,0)--(32,0)--(32,24)--(28,24)--cycle, black);
label("\$120", (0,24), W);
+
label("$120", (0,24), W);
label("\$80", (0,16), W);
+
label("$80", (0,16), W);
label("\$40", (0,8), W);
+
label("$40", (0,8), W);
 
label("Jan", (6,0), S);
 
label("Jan", (6,0), S);
 
label("Feb", (14,0), S);
 
label("Feb", (14,0), S);
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label("Apr", (30,0), S);
 
label("Apr", (30,0), S);
 
</asy>
 
</asy>
 +
 
<math> \textbf{(A)}\ 60\qquad\textbf{(B)}\ 70\qquad\textbf{(C)}\ 75\qquad\textbf{(D)}\ 80\qquad\textbf{(E)}\ 85 </math>
 
<math> \textbf{(A)}\ 60\qquad\textbf{(B)}\ 70\qquad\textbf{(C)}\ 75\qquad\textbf{(D)}\ 80\qquad\textbf{(E)}\ 85 </math>
  
==Solution==
+
== Solution ==
 
There are a total of <math>100+60+40+120=320</math> dollars of sales spread through <math>4</math> months, for an average of <math>320/4 = \boxed{\textbf{(D)}\ 80}</math>.
 
There are a total of <math>100+60+40+120=320</math> dollars of sales spread through <math>4</math> months, for an average of <math>320/4 = \boxed{\textbf{(D)}\ 80}</math>.
  
==See Also==
+
== See Also ==
 
{{AMC8 box|year=2008|num-b=7|num-a=9}}
 
{{AMC8 box|year=2008|num-b=7|num-a=9}}
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 12:37, 19 October 2020

Problem

Candy sales from the Boosters Club from January through April are shown. What were the average sales per month in dollars?

draw((0,0)--(36,0)--(36,24)--(0,24)--cycle);
draw((0,4)--(36,4));
draw((0,8)--(36,8));
draw((0,12)--(36,12));
draw((0,16)--(36,16));
draw((0,20)--(36,20));
fill((4,0)--(8,0)--(8,20)--(4,20)--cycle, black);
fill((12,0)--(16,0)--(16,12)--(12,12)--cycle, black);
fill((20,0)--(24,0)--(24,8)--(20,8)--cycle, black);
fill((28,0)--(32,0)--(32,24)--(28,24)--cycle, black);
label("$120", (0,24), W);
label("$80", (0,16), W);
label("$40", (0,8), W);
label("Jan", (6,0), S);
label("Feb", (14,0), S);
label("Mar", (22,0), S);
label("Apr", (30,0), S);
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$\textbf{(A)}\ 60\qquad\textbf{(B)}\ 70\qquad\textbf{(C)}\ 75\qquad\textbf{(D)}\ 80\qquad\textbf{(E)}\ 85$

Solution

There are a total of $100+60+40+120=320$ dollars of sales spread through $4$ months, for an average of $320/4 = \boxed{\textbf{(D)}\ 80}$.

See Also

2008 AMC 8 (ProblemsAnswer KeyResources)
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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