1. Willy saved 21 dollars buying the same number of games.

138.25 - 117.25 = 21.00

Since the money he saved was $3 per game,

Money saved

-------------- = number of games each bought.

Money saved per game

21/3 = 7.

They bought 7 games each.

Tony:

$138.25/7 games = $19.75/game.

2.

Forgot about the head start!!!! :)

Distance = rate * time

They run the same distance D.

Let t be the time that it took Damon to run the distance.

Damon

D = 3yd/s * (t)

Shaquan took 2 seconds longer than Damon, so his time was t+2, and his distance was 20 yards shorter.

D - 20 = 2.5yd/s * (t+2)

Solve for D:

D = 2.5(t+2) + 20

Set them equal to each other:

3(t) = 2.5(t+2) + 20

3t = 2.5t + 5 + 20

3t - 2.5t = 25

.5t = 25

t = 25/.5 = 25*2 = 50s

That's the time for Damon.

The question wants the distance.

D = r*t

D = 3*50

**D = 150 yards.**

Double check:

If D = 150, then Shaquan only had to run 150-20=130 yards, because he had a headstart.

If Damon ran the race in 50 seconds, and Shaquan took 2 seconds longer, then it took Shaquan 50+2 = 52 seconds.

Does that check out?

D for Shaquan = (2.5 yds/s)(52s) = 130yds. Check.

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