At a carnival, a toy boat race costs $4 to enter. second place earns a prize worth $8, and third place earns a prize worth $5. if the probability of winning any of the prizes is , what should the first place prize be worth for the game to be fair? (a) $35(b) $23(c) $31(d) $41

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graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6