If a piggy bank consists of quarters and dimes. There are 4 more dimes than quarters and the total
value of all the coins is $4.60. How many quarters
and dimes are there in the bank?

There are 12 quarters and 16 dimes

Step-by-step explanation:

Firstly, we need to know that a quarter is worth $0.25 while a dime is worth $0.10

There are 4 more dimes than quarters;

So if there are x quarters, there are x + 4 dimes

From the question we can get;

0.25(x) + 0.1(x + 4) = 4.6

0.25x + 0.1x + 0.4 = 4.6

0.35x = 4.6-0.4

0.35x = 4.2

x = 4.2/0.35

x = 12

X + 4 = 12 + 4 = 16