Lesson 3B – “Coin Problems”
Name: ___________________________________
1. Calculate the dollar value of the following collections of coins.
a)
b)
5 quarters
37 quarters
3 dimes
43 dimes
2 nickels
19 nickels
7 pennies
0 pennies
Value: ___________
Value: ___________
c)
213 quarters
159 dimes
190 nickels
342 pennies
Value: ___________
2. A piggy bank contains 37 quarters, “d” dimes, and 24 nickels. Write a simplified expression for the dollar
value of this collection of coins.
Simplified Expression: __________________
__________________________________________________________________________________________
3. A different piggy bank contains $22.50 in quarters and nickels. If there are 178 coins altogether, how many
quarters are in the piggy bank? (Don’t answer yet!!!)
a) Could there be 75 quarters in the piggy bank? Explain!
b) Is the guess in part a) for the number of quarters correct, too high, or too low? Explain!
1
Here come the word problems…
4. Betsy has a jar of dimes and nickels. If the total value of the coins is $8.25 and she has 61 dimes, how
many nickels does she have? Don’t answer this yet!!!
a) Could she have 50 nickels? Explain!!!
b) Could she have 33 nickels? Explain.
c) Let “n” equal the number of nickels that Betsy has. Write an equation that could be used to determine
the value of n.
Equation: ____________________________
d) Solve it!!! Show your work.
Solution:___________
2
Coin Problem #5
A piggy bank contains quarters, dimes, and pennies. There are 46 dimes and 211 pennies. If the total value
of the coins is $13.96, how many quarters are there? Don’t answer this yet!
a) Take a guess! Guess #1:_____________
Check your guess:
b) Take another guess! Guess #2:_____________
Check your guess:
c) Let “q” equal the number of quarters in the piggy bank. Write an equation that could be used to
determine the value of q.
Equation: ____________________________
d) Solve it!!! Show your work.
Solution:___________
3
Coin Problem #6:
A toll booth has collected $475.00 in quarters and dimes. If there are 340 more dimes than quarters, how
many quarters have been collected?
a) Guess #1: __________ Check it!
b) Guess #2: __________ Check it!
c) Let “q” equal the number of quarters the toll booth has collected. Write an equation for q.
Equation: ____________________________
d) Solve it! Show your work!
Solution:___________
4