A high school is having a talent contest and will give different prizes for the best five acts in the show. First place wins the most money and each place after that wins $50 less than the previous place.
Use the information provided to answer Part A and Part B.
Part A
x = amount of money for first place P = total amount of money P = x + (x – 50) + (x – 100) + (x – 150) + (x – 200) {model showing first place wins most, each place after is $50 less than previous}
Part B
x + (x – 50) + (x – 100) + (x – 150) + (x – 200) = 1000 {set the total equal to $1000} x + x – 50 + x – 100 + x – 150 + x – 200 = 1000 {removed parentheses} 5x – 500 = 1000 {combined like terms} +500 +500 5x = 1500 {added 500 to each side} x = 300 {divided each side by 5} 1st place = $300 2nd place = $250 3rd place = $200 4th place = $150 5th place = $100 Ask Algebra House Comments are closed.

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