Answer:
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
