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Difference between revisions of "1997 AHSME Problems/Problem 22"

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==Problem==
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Ashley, Betty, Carlos, Dick, and Elgin went shopping. Each had a whole number of dollars to spend, and together they had <math>56</math> dollars. The absolute difference between the amounts Ashley and Betty had to spend was <math>19</math> dollars. The absolute difference between the amounts Betty and Carlos had was <math>7</math> dollars, between Carlos and Dick was <math>5</math> dollars, between Dick and Elgin was <math>4</math> dollars, and between Elgin and Ashley was <math>11</math> dollars. How many dollars did Elgin have?
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<math> \textbf{(A)}\ 6\qquad\textbf{(B)}\ 7\qquad\textbf{(C)}\ 8\qquad\textbf{(D)}\ 9\qquad\textbf{(E)}\ 10 </math>
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== See also ==
 
== See also ==
 
{{AHSME box|year=1997|num-b=21|num-a=23}}
 
{{AHSME box|year=1997|num-b=21|num-a=23}}

Revision as of 17:16, 9 August 2011

Problem

Ashley, Betty, Carlos, Dick, and Elgin went shopping. Each had a whole number of dollars to spend, and together they had $56$ dollars. The absolute difference between the amounts Ashley and Betty had to spend was $19$ dollars. The absolute difference between the amounts Betty and Carlos had was $7$ dollars, between Carlos and Dick was $5$ dollars, between Dick and Elgin was $4$ dollars, and between Elgin and Ashley was $11$ dollars. How many dollars did Elgin have?

$\textbf{(A)}\ 6\qquad\textbf{(B)}\ 7\qquad\textbf{(C)}\ 8\qquad\textbf{(D)}\ 9\qquad\textbf{(E)}\ 10$

See also

1997 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 21
Followed by
Problem 23
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 26 27 28 29 30
All AHSME Problems and Solutions
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