A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successive prize. Find the amounts of the least and greatest prizes the radio station will award.

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05-11-2017
Mathematics

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A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successive prize. Find the amounts of the least and greatest prizes the radio station will award.

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Edufirst Edufirst · Answer 1 · 2017-11-07T02:36:59+01:00

Edufirst Edufirst

07-11-2017

5510 = x + (x + 100) + (x + 200) + (x + 300) + (x + 400) + (x + 500) + (x + 600) + (x +700) + (x + 800) + (x + 900) = 10x + 4500

=> 10x = 5510 - 4500 = 1010

=> x = 1010 / 10 = 101

=> least prize = 101 and greatest prize = 101+ 900 = 1001.<----- answer

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