Question

A contest gives out prizes for first, second, and third place. First place is $500 more than double third place. Second place is$400 less than first place. All together, $1850 is given out in prizes. How much is each prize worth? in progress 0 2 months 2021-07-26T10:48:46+00:00 1 Answers 3 views 0 ## Answers ( ) 1. 9514 1404 393 Answer: 1.$1000
2. $600 3.$250

Step-by-step explanation:

Let t represent the third-place prize value. Then the first place prize has a value of 2t+500, and the second-place prize is 2t+100. The total value of the three prizes is …

t +(2t+500) +(2t+100) = 1850

5t +600 = 1850

5t = 1250

t = 250 . . . . . . . . . . . third place prize

2t +500 = 1000 . . . . first place prize

1000 -400 = 600 . . .second place prize

The prizes for 1st, 2nd, and 3rd places are $1000,$600, and \$250, respectively.