10 points to whoever that can help me on this word problem?

Question

Al has 700 cards and Bob has 500 cards. After they each give Peter the same number of cards, the number of cards Al has left is less than or equal to 3 times the number of cards Bob has left. Find the range of the number of cards they each give.

Answer 1

A1=700

B1=500

A2<=B2*3

A2=A1-P/2

B2=B1-P/2

A2=700-P/2

B2=500-P/2

700-P/2<=1500-3*P/2

700<=1500-P

-800<=-p

800>=P

Each gave between 0-400.

Answer 2

A = 700

B = 500

P = What each gave to Peter.

(Al's amount - the number he gave to peter) is less than (Bob's amount - the number he gave to Peter) x 3

700 - P <= 3(500 - P)

Distribute:

700 - P <= 1500 - 3P

Add 3P to both sides:

700 + 2P <=1500

Subtract 700 from both sides:

2P <=800

Divide both sides by 2:

P <=400

ANSWER: Al and Bob each gave Peter anywhere from 0 to 400 cards.

I hope this helped!!! :)

Answer 3

thats not possible is it? well... it would be an open circle w/ a line under it anyways.