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Algebra

Expert replies
by alokmahesh07 » Sat Aug 18, 2007 6:51 am
Can someone solve this one for me ?
Archie, Betty and Coach bought a radio. Archie paid the least amount of money, Coach paid twice as much as Archie, and Betty paid the most. Archie paid seventy dollars less than the difference between what Betty and Coach paid. If Archie had paid twice as much as he did pay, Betty and Coach would have each paid ten dollars less. Which of the following equals the amount Betty paid?


40

90

130

140

Insufficient information
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Source: — Problem Solving |

by krishnamurthyu » Sat Aug 18, 2007 7:23 am
Given:
A + B + C = X ------1
C = 2A , ------- 2
A < C < B
A = (B-C ) - 70 -------3
2A + (B + C ) -10 -10 = X : --------4.

4-1 : A-20 = 0;
A = 20
C = 2 * 20 = 40

From 3:
20 = B-40-70
B=20+110
=130
=Ans.C
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