Outline Mathematics
Word Problems
Coin counting word problem
Here's a problem to tackle:
There are 9 coins all together, some of them pennies, some nickels and some dimes. If you collect up all the pennies and nickels, there are 7. If you collect up all the nickels and dimes, there are 5. How many of the 9 coins are pennies, how many nickels, how many dimes? |

|Up| |Contact| |Front page| |Contents| |Algebra|
Copyright © 1996-2018 Alexander Bogomolny
Solution 1
There are 9 coins all together, some of them pennies, some nickels and some dimes. If you collect up all the pennies and nickels, there are 7. If you collect up all the nickels and dimes, there are 5. How many of the 9 coins are pennies, how many nickels, how many dimes? |
(In the applet below, click on the underlined omitted expressions. See what happens.)
Do not forget to check your solution.

|Up| |Contact| |Front page| |Contents| |Algebra|
Copyright © 1996-2018 Alexander Bogomolny
Solution 2
There are 9 coins all together, some of them pennies, some nickels and some dimes. If you collect up all the pennies and nickels, there are 7. If you collect up all the nickels and dimes, there are 5. How many of the 9 coins are pennies, how many nickels, how many dimes? |
(In the applet below, click on the underlined omitted expressions. See what happens.)
Do not forget to check your solution.

|Contact| |Front page| |Contents| |Algebra|
Copyright © 1996-2018 Alexander Bogomolny
Solution 3
There are 9 coins all together, some of them pennies, some nickels and some dimes. If you collect up all the pennies and nickels, there are 7. If you collect up all the nickels and dimes, there are 5. How many of the 9 coins are pennies, how many nickels, how many dimes? |
(In the applet below, click on the underlined omitted expressions. See what happens.)
Do not forget to check your solution.
References
- S. Beckman, Mathematics For Elementary Teachers, Pearson Education, 2003

|Up| |Contact| |Front page| |Contents| |Algebra|
Copyright © 1996-2018 Alexander Bogomolny
73278857