Question

In a collection of coins , there are 6 less dimes than there are quarters . If the value of the collection is $3.95 , how many dimes are there?

Answer 1

one dime is $0.10

one quarter is $0.25

Let x = number of quarters

and there are 6 less dimes than quarters so this will be x - 6

The total value is $3.95

The equation will be :

$\begin{gathered} 0.25(x)+0.10(x-6)=3.95 \\ 0.25x+0.10x-0.6=3.95 \\ 0.35x=3.95+0.6 \\ 0.35x=4.55 \\ x=\frac{4.55}{0.35}=13 \end{gathered}$

The number of dimes is x - 6

13 - 6 = 7

The answer is 7