in mathematics competition,the winner won $100 more than twice the amount won by the runner-up. how much money did the runner-up win if both of them won $2,350 altogether

Since there are two people who won prize money and the total amount won is $2,350, we can set up an equation based on the verbal descriptions to assign a variable and solve.

Let 'x' = the amount won by the runner-up

Since the winner won '$100 more than twice the amount won by the runner-up': winner = 2x + 100

The sum of the amount is $2,350, so:

x + (2x + 100) = 2350 or 3x + 100 = 2350

Subtract 100 from both sides: 3x + 100 - 100 = 2350 - 100 or 3x = 2250

Divide by 3 on both sides: 3x/3 = 2250/3

Solve for x: x = $750

in mathematics competition,the winner won $100 more than twice the amount won by the runner-up. how much money did the runner-up win if both of them won $2,350 altogether​

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in mathematics competition,the winner won $100 more than twice the amount won by the runner-up. how much money did the runner-up win if both of them won $2,350 altogether