1. Algebra Problems… Solutions Algebra Problems… Solutions © 2007 Herbert I. Gross Set 24 By Herbert I. Gross and Richard A. Medeiros next

2. Problem #1 © 2007 Herbert I. Gross next John and Bill together have 500 marbles and John has 50 marbles more than Bill. How many marbles does Bill have?

3. Problem #2 © 2007 Herbert I. Gross next Herb has three times as many marbles as Ben. Together they have 120 marbles. How many marbles does Herb have?

4. Problem #3 © 2007 Herbert I. Gross next The only money Mary has with her is 30 coins consisting of dimes and quarters. If she has twice as many quarters as dimes, how much money does she have with her?

5. Problem #4 © 2007 Herbert I. Gross next A rectangle’s length is 22 inches more than three times the rectangle’s width. If the perimeter of the rectangle is 180 inches, what is the length of the rectangle?

6. Problem #5 © 2007 Herbert I. Gross next Mary has twice as much money as Jane. If Mary had $4 more and Jane had $3 less, Mary would then have 4 times as much money as Jane. How much money does Jane have?

7. Problem #6 © 2007 Herbert I. Gross next John is now 3 times as old as Bill. Seven years from now he’ll only be twice as old as Bill. How old is Bill now?

8. Problem #7 © 2007 Herbert I. Gross next A car went from A to B at a constant rate of 30 mph and made the return trip at a constant rate of 20 mph. If the round trip took a total of 30 hours, what is the distance between A and B?

9. Problem #8 © 2007 Herbert I. Gross next John has three times as many marbles as Bill, and Tom has four more marbles than John. How many marbles does Tom have if altogether they have 214 marbles?

10. Problem #9 © 2007 Herbert I. Gross next A piece of string, 65 inches long, is cut into 3 pieces. The second piece is twice as long as the first piece and the third piece is 5 inches longer than the second piece. How long is the first piece?

11. Problem #10 © 2007 Herbert I. Gross next A piece of string, 65 inches long, is cut into 3 pieces. The second piece is twice as long as the first piece and the third piece is 5 inches longer than the first piece. How long is the first piece?