Question 837607
To solve, we need to set this word problem up as a set of equations.  We are told that Kendra has $13.20 in dimes and quarters.  We know that a dime is = .10 and a quarter is equal to .25.  So, our first equation would look like:


.10d + .25q = 13.20, where d=dimes and q=quarters


Next, we are told that the number of quarters is 4 times the number of dimes.  In other words


q = 4d


Now, we can substitute 4d for q in equation 1:


.10d + .25(4d) = 13.20 ----->


.10d + 1d = 13.20 ----->


1.10d = 13.20


Now, we can divide both sides of this equation by 1.10:


d = 13.20/1.10 ----->


d = 12


Therefore, Kendra has 12 dimes.  We know that the number of quarters is 4 times the number of dimes.  So, 4 * 12 = 48.  Hence, we have 48 quarters.  


ANSWER:  12 dimes & 48 quarters