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NeX [460]
2 years ago
14

Lashonda, Pablo, and Hong served a total of 143 orders Monday at the school cafeteria. Pablo served 4 times as many orders as Ho

ng. Lashonda served 7 fewer orders than Hong. How many orders did they each serve?
Mathematics
1 answer:
horsena [70]2 years ago
7 0

Answer:

Hong = 25

Pablo = 100

Lashonda = 18

Step-by-step explanation:

Let Hong's order be x , since Pablo served 4 times as many as Hong , then Pablo's order is 4x , also , since Lashonda served 7 fewer than Hong , it means Lashonda's order is x - 7 . combining all

Hong's orders = x

Pablo's order = 4x

Lashonda's order = x - 7

Total order = 143

Then

x + 4x + x - 7 = 143

6x - 7 = 143

6x = 143 + 7

6x = 150

x = 25

Therefore :

Hong served 25 orders

Pablo served 24x 4 orders = 100 orders

Lashonda served 25 - 7 orders = 18 orders

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Problem

Alice and Bob play a game involving a circle whose circumference is divided by 12 equally-spaced points. The points are numbered clockwise, from 1 to 12. Both start on point 12. Alice moves clockwise and Bob, counterclockwise. In a turn of the game, Alice moves 5 points clockwise and Bob moves 9 points counterclockwise. The game ends when they stop on the same point. How many turns will this take?

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See Also

2005 AMC 8 (Problems • Answer Key • Resources)

Preceded by

Problem 19 Followed by

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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

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The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

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