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. a. least: $100 greatest: $1000 c. least: $101 greatest: $1001 b. least: $10 greatest: $5500 d. least: $50 greatest: $1500

Question

Mathematics

Lilyana

5 March, 05:49

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. a. least: $100 greatest: $1000 c. least: $101 greatest: $1001 b. least: $10 greatest: $5500 d. least: $50 greatest: $1500

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Answers (1)

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Rylee Martin · Answer 1

Let us say that x is the smallest prize, therefore the prizes are:

x, 100 + x, 200 + x ... 900 + x

So when the prizes are summed up and equated to 5510:

4500 + 10 x = 5510

Solving for x:

x = 101

900 + x = 1001

Answer:

c. least: $101 greatest: $1001