MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1997 AMC 12/AHSME
22
22
Part of
1997 AMC 12/AHSME
Problems
(1)
Friends Go Shopping
Source:
1/18/2009
Ashley, Betty, Carlos, Dick, and Elgin went shopping. Each had a whole number of dollars to spend, and together they had
$
56
\$56
$56
. The absolute difference between the amounts Ashley and Betty had to spend was
$
19
\$19
$19
. The absolute difference between the amounts Betty and Carlos had was
$
7
\$7
$7
, between Carlos and Dick was
$
5
\$5
$5
, between Dick and Elgin was
$
4
\$4
$4
, and between Elgin and Ashley was
$
11
\$11
$11
. How much did Elgin have?
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$
6
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$
7
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C
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$
8
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D
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$
9
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E
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$
10
<span class='latex-bold'>(A)</span>\ \$6\qquad <span class='latex-bold'>(B)</span>\ \$7\qquad <span class='latex-bold'>(C)</span>\ \$8\qquad <span class='latex-bold'>(D)</span>\ \$9\qquad <span class='latex-bold'>(E)</span>\ \$10
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$6
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$7
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C
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$8
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D
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$9
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E
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$10