Math Word Problem

Question

Bobbie wants to make $2.00 using dollars, half dollars, and quarters. How many different ways can she make $2.00?

Answer 1

Let's consider all possible combinations of the three

coin denominations...

 

Let...

d=dollar        =$1.00

h=half dollar=$0.50

q=quarter    =$0.25

 

1.  "d" only:

d+d..........................2d

 

2.  "d+h":

d+h+h.....................1d, 2h

 

3.  "d+q":

d+q+q+q+q.............1d,4q

 

4.  "h" only:

h+h+h+h.................4h

 

5.  "h+q":

h+q+q+q+q+q+q.....1h,6q

h+h+q+q+q+q.........2h,4q

h+h+h+q+q.............3h,2q

 

6.  "q" only:

q+q+q+q+q+q+q+q.....8q

 

7.  "d+h+q":

d+h+q+q.................1d,1h,2q

 

So, there are 9 possible coin combinations using

three coin denominations totaling $2.00.